120335149670400 has 2688 divisors, whose sum is σ = 521039668469760. Its totient is φ = 26656317112320.

The previous prime is 120335149670371. The next prime is 120335149670423. The reversal of 120335149670400 is 4076941533021.

120335149670400 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 3 + 51 + 496 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 191 ways as a sum of consecutive naturals, for example, 327888691017 + ... + 327888691383.

Almost surely, 2^{120335149670400} is an apocalyptic number.

120335149670400 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 120335149670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260519834234880).

120335149670400 is an abundant number, since it is smaller than the sum of its proper divisors (400704518799360).

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

120335149670400 is a wasteful number, since it uses less digits than its factorization.

120335149670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 120335149670400 in words is "one hundred twenty trillion, three hundred thirty-five billion, one hundred forty-nine million, six hundred seventy thousand, four hundred".