120150405050400 has 216 divisors, whose sum is σ = 427429752471540. Its totient is φ = 31756567019520.

The previous prime is 120150405050387. The next prime is 120150405050477. The reversal of 120150405050400 is 4050504051021.

120150405050400 is a `hidden beast` number, since 1 + 2 + 0 + 150 + 4 + 0 + 5 + 0 + 504 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 738575235216 + 119411829815184 = 859404^2 + 10927572^2 .

It is a super-2 number, since 2×120150405050400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73025145 + ... + 74652344.

Almost surely, 2^{120150405050400} is an apocalyptic number.

120150405050400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120150405050400 is an abundant number, since it is smaller than the sum of its proper divisors (307279347421140).

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

120150405050400 is a wasteful number, since it uses less digits than its factorization.

120150405050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147677628 (or 147677612 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 120150405050400 in words is "one hundred twenty trillion, one hundred fifty billion, four hundred five million, fifty thousand, four hundred".