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1220000101122 = 23111937101260339
BaseRepresentation
bin10001110000001101101…
…011000011001100000010
311022122000220102111221110
4101300031223003030002
5124442030011213442
62332243232104150
7154066511520525
oct21601553031402
94278026374843
101220000101122
11430443285090
1217853b695056
138b078cc967a
1443096838bbc
1521b0597669c
hex11c0dac3302

1220000101122 has 128 divisors (see below), whose sum is σ = 2906144179200. Its totient is φ = 337398048000.

The previous prime is 1220000101121. The next prime is 1220000101147. The reversal of 1220000101122 is 2211010000221.

It is a junction number, because it is equal to n+sod(n) for n = 1220000101098 and 1220000101107.

It is not an unprimeable number, because it can be changed into a prime (1220000101121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4556029 + ... + 4816367.

It is an arithmetic number, because the mean of its divisors is an integer number (22704251400).

Almost surely, 21220000101122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220000101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453072089600).

1220000101122 is an abundant number, since it is smaller than the sum of its proper divisors (1686144078078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1220000101122 is a wasteful number, since it uses less digits than its factorization.

1220000101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260512.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1220000101122 its reverse (2211010000221), we get a palindrome (3431010101343).

The spelling of 1220000101122 in words is "one trillion, two hundred twenty billion, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 101 111 114 202 209 222 303 407 418 606 627 703 814 1111 1221 1254 1406 1919 2109 2222 2442 3333 3737 3838 4218 5757 6666 7474 7733 11211 11514 15466 21109 22422 23199 41107 42218 46398 63327 71003 82214 123321 126654 142006 213009 246642 260339 426018 520678 781017 781033 1562034 1562066 2343099 2863729 4686198 4946441 5727458 8591187 9632543 9892882 14839323 17182374 19265086 26294239 28897629 29678646 52588478 54410851 57795258 78882717 105957973 108821702 157765434 163232553 183018317 211915946 289236629 317873919 326465106 366036634 499590541 549054951 578473258 635747838 867709887 972886843 999181082 1098109902 1498771623 1735419774 1945773686 2013201487 2918660529 2997543246 4026402974 5495495951 5837321058 6039604461 10701755273 10990991902 12079208922 16486487853 18484850017 21403510546 32105265819 32972975706 36969700034 55454550051 64210531638 110909100102 203333350187 406666700374 610000050561 1220000101122