120426468972160 has 384 divisors, whose sum is σ = 326981908857600. Its totient is φ = 42342832816128.

The previous prime is 120426468972079. The next prime is 120426468972167. The reversal of 120426468972160 is 61279864624021.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 120426468972095 and 120426468972104.

It is not an unprimeable number, because it can be changed into a prime (120426468972167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187770111 + ... + 188410369.

It is an arithmetic number, because the mean of its divisors is an integer number (851515387650).

Almost surely, 2^{120426468972160} is an apocalyptic number.

120426468972160 is a gapful number since it is divisible by the number (10) 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 120426468972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163490954428800).

120426468972160 is an abundant number, since it is smaller than the sum of its proper divisors (206555439885440).

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

120426468972160 is a wasteful number, since it uses less digits than its factorization.

120426468972160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640388 (or 640363 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 120426468972160 in words is "one hundred twenty trillion, four hundred twenty-six billion, four hundred sixty-eight million, nine hundred seventy-two thousand, one hundred sixty".