120155321114400 has 1152 divisors, whose sum is σ = 478549122895872. Its totient is φ = 25792542720000.

The previous prime is 120155321114393. The next prime is 120155321114419. The reversal of 120155321114400 is 4411123551021.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 901519765 + ... + 901653035.

It is an arithmetic number, because the mean of its divisors is an integer number (415407224736).

Almost surely, 2^{120155321114400} is an apocalyptic number.

120155321114400 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 120155321114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239274561447936).

120155321114400 is an abundant number, since it is smaller than the sum of its proper divisors (358393801781472).

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

120155321114400 is a wasteful number, since it uses less digits than its factorization.

120155321114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133426 (or 133413 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 120155321114400 its reverse (4411123551021), we get a palindrome (124566444665421).

The spelling of 120155321114400 in words is "one hundred twenty trillion, one hundred fifty-five billion, three hundred twenty-one million, one hundred fourteen thousand, four hundred".