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11212201120 = 255417272351
BaseRepresentation
bin10100111000100110…
…01001110010100000
31001221101201211110011
422130103021302200
5140430310413440
65052324214304
7544564065001
oct123423116240
931841654404
1011212201120
114833aa471a
12220ab3a394
131098b94343
1478514b1a8
154595089ea
hex29c4c9ca0

11212201120 has 96 divisors (see below), whose sum is σ = 27183776256. Its totient is φ = 4367616000.

The previous prime is 11212201111. The next prime is 11212201123. The reversal of 11212201120 is 2110221211.

It is a self number, because there is not a number n which added to its sum of digits gives 11212201120.

It is not an unprimeable number, because it can be changed into a prime (11212201123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4767945 + ... + 4770295.

It is an arithmetic number, because the mean of its divisors is an integer number (283164336).

Almost surely, 211212201120 is an apocalyptic number.

11212201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13591888128).

11212201120 is an abundant number, since it is smaller than the sum of its proper divisors (15971575136).

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

11212201120 is a wasteful number, since it uses less digits than its factorization.

11212201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3134 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11212201120 its reverse (2110221211), we get a palindrome (13322422331).

The spelling of 11212201120 in words is "eleven billion, two hundred twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 727 820 1312 1454 1640 2351 2908 3280 3635 4702 5816 6560 7270 9404 11632 11755 14540 18808 23264 23510 29080 29807 37616 47020 58160 59614 75232 94040 96391 116320 119228 149035 188080 192782 238456 298070 376160 385564 476912 481955 596140 771128 953824 963910 1192280 1542256 1709177 1927820 2384560 3084512 3418354 3855640 4769120 6836708 7711280 8545885 13673416 15422560 17091770 27346832 34183540 54693664 68367080 70076257 136734160 140152514 273468320 280305028 350381285 560610056 700762570 1121220112 1401525140 2242440224 2803050280 5606100560 11212201120