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12100022100012 = 22371113095262013
BaseRepresentation
bin1011000000010100000110…
…0001001110000000101100
31120211202021100022020120010
42300011001201032000230
53041221321124200022
641422401242453220
72356124553564360
oct260050141160054
946752240266503
1012100022100012
113945655034a80
121435094b04210
1369a047969552
142db9039532a0
1515eb3907350c
hexb014184e02c

12100022100012 has 48 divisors (see below), whose sum is σ = 35200064293632. Its totient is φ = 3142862882880.

The previous prime is 12100022099987. The next prime is 12100022100031. The reversal of 12100022100012 is 21000122000121.

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

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, 6547630083 + ... + 6547631930.

It is an arithmetic number, because the mean of its divisors is an integer number (733334672784).

Almost surely, 212100022100012 is an apocalyptic number.

12100022100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12100022100012 is an abundant number, since it is smaller than the sum of its proper divisors (23100042193620).

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

12100022100012 is a wasteful number, since it uses less digits than its factorization.

12100022100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13095262038 (or 13095262036 counting only the distinct ones).

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

Adding to 12100022100012 its reverse (21000122000121), we get a palindrome (33100144100133).

The spelling of 12100022100012 in words is "twelve trillion, one hundred billion, twenty-two million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 13095262013 26190524026 39285786039 52381048052 78571572078 91666834091 144047882143 157143144156 183333668182 275000502273 288095764286 366667336364 432143646429 550001004546 576191528572 864287292858 1008335175001 1100002009092 1728574585716 2016670350002 3025005525003 4033340700004 6050011050006 12100022100012