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10122000012 = 22321811553407
BaseRepresentation
bin10010110110101000…
…10111011010001100
3222010102022212200100
421123110113122030
5131212213000022
64352221331100
7505555403055
oct113324273214
928112285610
1010122000012
114324672473
121b65a06a90
13c54064827
146c043d72c
153e395b1ac
hex25b51768c

10122000012 has 36 divisors (see below), whose sum is σ = 25727543296. Its totient is φ = 3355356960.

The previous prime is 10122000001. The next prime is 10122000023. The reversal of 10122000012 is 21000022101.

10122000012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10122000001) and next prime (10122000023).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10121999958 and 10122000003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 770188 + ... + 783219.

Almost surely, 210122000012 is an apocalyptic number.

10122000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10122000012 is an abundant number, since it is smaller than the sum of its proper divisors (15605543284).

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

10122000012 is a wasteful number, since it uses less digits than its factorization.

10122000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553598 (or 1553593 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10122000012 its reverse (21000022101), we get a palindrome (31122022113).

The spelling of 10122000012 in words is "ten billion, one hundred twenty-two million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 181 362 543 724 1086 1629 2172 3258 6516 1553407 3106814 4660221 6213628 9320442 13980663 18640884 27961326 55922652 281166667 562333334 843500001 1124666668 1687000002 2530500003 3374000004 5061000006 10122000012