120411154120356 has 480 divisors, whose sum is σ = 358280457486336. Its totient is φ = 34932396960000.

The previous prime is 120411154120303. The next prime is 120411154120357. The reversal of 120411154120356 is 653021451114021.

120411154120356 is a `hidden beast` number, since 1 + 2 + 0 + 41 + 1 + 1 + 541 + 20 + 3 + 56 = 666.

It is a super-2 number, since 2×120411154120356² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120411154120356.

It is not an unprimeable number, because it can be changed into a prime (120411154120357) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15879088141 + ... + 15879095723.

Almost surely, 2^{120411154120356} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120411154120356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179140228743168).

120411154120356 is an abundant number, since it is smaller than the sum of its proper divisors (237869303365980).

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

120411154120356 is a wasteful number, since it uses less digits than its factorization.

120411154120356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9165 (or 9154 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 120411154120356 in words is "one hundred twenty trillion, four hundred eleven billion, one hundred fifty-four million, one hundred twenty thousand, three hundred fifty-six".