120427196400 has 360 divisors, whose sum is σ = 479021597600. Its totient is φ = 27445340160.

The previous prime is 120427196371. The next prime is 120427196471. The reversal of 120427196400 is 4691724021.

It is a happy number.

120427196400 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 2 + 7 + 1 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-5 number, since 5×120427196400⁵ (a number of 57 digits) contains 55555 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8787954 + ... + 8801646.

Almost surely, 2^120427196400 is an apocalyptic number.

120427196400 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 120427196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239510798800).

120427196400 is an abundant number, since it is smaller than the sum of its proper divisors (358594401200).

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

120427196400 is a wasteful number, since it uses less digits than its factorization.

120427196400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14073 (or 14059 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 120427196400 in words is "one hundred twenty billion, four hundred twenty-seven million, one hundred ninety-six thousand, four hundred".