120471009782400 has 768 divisors, whose sum is σ = 468686458396800. Its totient is φ = 30115307520000.

The previous prime is 120471009782377. The next prime is 120471009782471. The reversal of 120471009782400 is 4287900174021.

120471009782400 is a `hidden beast` number, since 1 + 20 + 47 + 100 + 9 + 7 + 82 + 400 = 666.

It is a super-2 number, since 2×120471009782400² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 368505414 + ... + 368832186.

Almost surely, 2^{120471009782400} is an apocalyptic number.

120471009782400 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 120471009782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234343229198400).

120471009782400 is an abundant number, since it is smaller than the sum of its proper divisors (348215448614400).

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

120471009782400 is a wasteful number, since it uses less digits than its factorization.

120471009782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327074 (or 327051 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 120471009782400 in words is "one hundred twenty trillion, four hundred seventy-one billion, nine million, seven hundred eighty-two thousand, four hundred".