120210311232000 has 960 divisors, whose sum is σ = 476519171356800. Its totient is φ = 28883828736000.

The previous prime is 120210311231953. The next prime is 120210311232031. The reversal of 120210311232000 is 232113012021.

120210311232000 is a `hidden beast` number, since 1 + 20 + 2 + 10 + 311 + 2 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 715884051 + ... + 716051949.

It is an arithmetic number, because the mean of its divisors is an integer number (496374136830).

Almost surely, 2^{120210311232000} is an apocalyptic number.

120210311232000 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 120210311232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238259585678400).

120210311232000 is an abundant number, since it is smaller than the sum of its proper divisors (356308860124800).

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

120210311232000 is a wasteful number, since it uses less digits than its factorization.

120210311232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168062 (or 168033 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120210311232000 its reverse (232113012021), we get a palindrome (120442424244021).

The spelling of 120210311232000 in words is "one hundred twenty trillion, two hundred ten billion, three hundred eleven million, two hundred thirty-two thousand".