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12010011012112 = 243732012401309
BaseRepresentation
bin1010111011000100110001…
…1100001010110000010000
31120112010221022120012200211
42232301030130022300100
53033233000304341422
641313153424453504
72346460161140521
oct256611434126020
946463838505624
1012010011012112
113910465130433
12141b75447a294
136917017644a9
142d74053aa848
1515c61bc56577
hexaec4c70ac10

12010011012112 has 20 divisors (see below), whose sum is σ = 23331780788140. Its totient is φ = 5988906292608.

The previous prime is 12010011012007. The next prime is 12010011012143. The reversal of 12010011012112 is 21121011001021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3941320796176 + 8068690215936 = 1985276^2 + 2840544^2 .

It is a super-2 number, since 2×120100110121122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12010011012092 and 12010011012101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1006194687 + ... + 1006206622.

It is an arithmetic number, because the mean of its divisors is an integer number (1166589039407).

Almost surely, 212010011012112 is an apocalyptic number.

It is an amenable number.

12010011012112 is a deficient number, since it is larger than the sum of its proper divisors (11321769776028).

12010011012112 is a wasteful number, since it uses less digits than its factorization.

12010011012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012401690 (or 2012401684 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12010011012112 its reverse (21121011001021), we get a palindrome (33131022013133).

The spelling of 12010011012112 in words is "twelve trillion, ten billion, eleven million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 373 746 1492 2984 5968 2012401309 4024802618 8049605236 16099210472 32198420944 750625688257 1501251376514 3002502753028 6005005506056 12010011012112