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10122102120 = 2335136488527
BaseRepresentation
bin10010110110101001…
…10000010101101000
3222010102112001202010
421123110300111220
5131212224231440
64352223435520
7505556306544
oct113324602550
928112461663
1010122102120
114324732159
121b65a55ba0
13c5409c150
146c0468a24
153e397b580
hex25b530568

10122102120 has 64 divisors (see below), whose sum is σ = 32702181120. Its totient is φ = 2491593984.

The previous prime is 10122102103. The next prime is 10122102143. The reversal of 10122102120 is 2120122101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10122102096 and 10122102105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3242704 + ... + 3245823.

It is an arithmetic number, because the mean of its divisors is an integer number (510971580).

Almost surely, 210122102120 is an apocalyptic number.

10122102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122102120 is an abundant number, since it is smaller than the sum of its proper divisors (22580079000).

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

10122102120 is a wasteful number, since it uses less digits than its factorization.

10122102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488554 (or 6488550 counting only the distinct ones).

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

Adding to 10122102120 its reverse (2120122101), we get a palindrome (12242224221).

The spelling of 10122102120 in words is "ten billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 6488527 12977054 19465581 25954108 32442635 38931162 51908216 64885270 77862324 84350851 97327905 129770540 155724648 168701702 194655810 253052553 259541080 337403404 389311620 421754255 506105106 674806808 778623240 843508510 1012210212 1265262765 1687017020 2024420424 2530525530 3374034040 5061051060 10122102120