12007036861920 has 192 divisors, whose sum is σ = 42026761224000. Its totient is φ = 3201714044928.

The previous prime is 12007036861879. The next prime is 12007036861927. The reversal of 12007036861920 is 2916863070021.

12007036861920 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 7 + 0 + 3 + 6 + 8 + 619 + 20 = 666.

It is a super-2 number, since 2×12007036861920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12007036861927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102277816 + ... + 102395144.

It is an arithmetic number, because the mean of its divisors is an integer number (218889381375).

Almost surely, 2^{12007036861920} is an apocalyptic number.

12007036861920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12007036861920 is an abundant number, since it is smaller than the sum of its proper divisors (30019724362080).

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

12007036861920 is a wasteful number, since it uses less digits than its factorization.

12007036861920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141042 (or 141028 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 12007036861920 in words is "twelve trillion, seven billion, thirty-six million, eight hundred sixty-one thousand, nine hundred twenty".