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1020201212120 = 235233135771431
BaseRepresentation
bin11101101100010001011…
…10110001100011011000
310121112022120120022212112
432312020232301203120
5113203333002241440
62100401324331452
7133464352136126
oct16661056614330
93545276508775
101020201212120
11363734a95622
1214587b3a3b88
13752875633ac
1437541348916
151b80eeca965
hexed88bb18d8

1020201212120 has 64 divisors (see below), whose sum is σ = 2472521379840. Its totient is φ = 377746300800.

The previous prime is 1020201212087. The next prime is 1020201212123. The reversal of 1020201212120 is 212121020201.

1020201212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10202012121202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020201212095 and 1020201212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020201212123) 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, 17857196 + ... + 17914235.

It is an arithmetic number, because the mean of its divisors is an integer number (38633146560).

Almost surely, 21020201212120 is an apocalyptic number.

1020201212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020201212120 is an abundant number, since it is smaller than the sum of its proper divisors (1452320167720).

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

1020201212120 is a wasteful number, since it uses less digits than its factorization.

1020201212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35771496 (or 35771492 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020201212120 its reverse (212121020201), we get a palindrome (1232322232321).

It can be divided in two parts, 1020201 and 212120, that added together give a palindrome (1232321).

The spelling of 1020201212120 in words is "one trillion, twenty billion, two hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 184 230 248 310 460 620 713 920 1240 1426 2852 3565 5704 7130 14260 28520 35771431 71542862 143085724 178857155 286171448 357714310 715428620 822742913 1108914361 1430857240 1645485826 2217828722 3290971652 4113714565 4435657444 5544571805 6581943304 8227429130 8871314888 11089143610 16454858260 22178287220 25505030303 32909716520 44356574440 51010060606 102020121212 127525151515 204040242424 255050303030 510100606060 1020201212120