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2012120010021 = 311194771961679
BaseRepresentation
bin11101010001111011101…
…100101100110100100101
321010100122002210011010010
4131101323230230310211
5230431310210310041
64140204414520433
7265241131614162
oct35217354546445
97110562704103
102012120010021
117063763207a0
12285b66b06119
13117985527534
146d55c3cb069
1537517056a16
hex1d47bb2cd25

2012120010021 has 64 divisors (see below), whose sum is σ = 3190623436800. Its totient is φ = 1114777137600.

The previous prime is 2012120009993. The next prime is 2012120010079. The reversal of 2012120010021 is 1200100212102.

It is not a de Polignac number, because 2012120010021 - 26 = 2012120009957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2012120009979 and 2012120010006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012120010221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1611460 + ... + 2573138.

It is an arithmetic number, because the mean of its divisors is an integer number (49853491200).

Almost surely, 22012120010021 is an apocalyptic number.

It is an amenable number.

2012120010021 is a deficient number, since it is larger than the sum of its proper divisors (1178503426779).

2012120010021 is a wasteful number, since it uses less digits than its factorization.

2012120010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961830.

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

Adding to 2012120010021 its reverse (1200100212102), we get a palindrome (3212220222123).

The spelling of 2012120010021 in words is "two trillion, twelve billion, one hundred twenty million, ten thousand, twenty-one".

Divisors: 1 3 11 19 33 47 57 71 141 209 213 517 627 781 893 1349 1551 2343 2679 3337 4047 9823 10011 14839 29469 36707 44517 63403 110121 190209 697433 961679 2092299 2885037 10578469 18271901 31735407 45198913 54815703 68279209 135596739 200990911 204837627 497188043 602972733 751071299 858779347 1297304971 1491564129 2253213897 2576338041 3209122823 3891914913 9446572817 9627368469 14270354681 28339718451 35300351053 42811064043 60973333637 105901053159 182920000911 670706670007 2012120010021