120221031312 has 120 divisors (see below), whose sum is σ = 339436712160. Its totient is φ = 39719093760.

The previous prime is 120221031311. The next prime is 120221031347. The reversal of 120221031312 is 213130122021.

120221031312 is a `hidden beast` number, since 120 + 221 + 0 + 313 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (120221031311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13627639 + ... + 13636457.

It is an arithmetic number, because the mean of its divisors is an integer number (2828639268).

Almost surely, 2^120221031312 is an apocalyptic number.

120221031312 is a gapful number since it is divisible by the number (12) 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 120221031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169718356080).

120221031312 is an abundant number, since it is smaller than the sum of its proper divisors (219215680848).

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

120221031312 is a wasteful number, since it uses less digits than its factorization.

120221031312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9661 (or 9652 counting only the distinct ones).

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

Adding to 120221031312 its reverse (213130122021), we get a palindrome (333351153333).

The spelling of 120221031312 in words is "one hundred twenty billion, two hundred twenty-one million, thirty-one thousand, three hundred twelve".