120067412765472 has 192 divisors, whose sum is σ = 350489683272960. Its totient is φ = 39988993462272.

The previous prime is 120067412765471. The next prime is 120067412765483. The reversal of 120067412765472 is 274567214760021.

120067412765472 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 6 + 74 + 1 + 27 + 6 + 547 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (120067412765471) 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, 5529736888 + ... + 5529758600.

It is an arithmetic number, because the mean of its divisors is an integer number (1825467100380).

Almost surely, 2^{120067412765472} is an apocalyptic number.

120067412765472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120067412765472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175244841636480).

120067412765472 is an abundant number, since it is smaller than the sum of its proper divisors (230422270507488).

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

120067412765472 is a wasteful number, since it uses less digits than its factorization.

120067412765472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26792 (or 26778 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 120067412765472 in words is "one hundred twenty trillion, sixty-seven billion, four hundred twelve million, seven hundred sixty-five thousand, four hundred seventy-two".