3126138602112 has 48 divisors (see below), whose sum is σ = 8995789470330. Its totient is φ = 1042046200320.

The previous prime is 3126138602033. The next prime is 3126138602117. The reversal of 3126138602112 is 2112068316213.

3126138602112 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 1 + 38 + 602 + 1 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2696505546816 + 429633055296 = 1642104^2 + 655464^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3126138602112² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3126138602117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1356829839 + ... + 1356832142.

Almost surely, 2^{3126138602112} is an apocalyptic number.

3126138602112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3126138602112 is an abundant number, since it is smaller than the sum of its proper divisors (5869650868218).

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

3126138602112 is a wasteful number, since it uses less digits than its factorization.

3126138602112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713662001 (or 2713661986 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 3126138602112 in words is "three trillion, one hundred twenty-six billion, one hundred thirty-eight million, six hundred two thousand, one hundred twelve".