120221021012000 has 192 divisors, whose sum is σ = 304980458065920. Its totient is φ = 46526649984000.

The previous prime is 120221021011913. The next prime is 120221021012017. The reversal of 120221021012000 is 210120122021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560000681 + ... + 560215319.

It is an arithmetic number, because the mean of its divisors is an integer number (1588439885760).

Almost surely, 2^{120221021012000} is an apocalyptic number.

120221021012000 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 120221021012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152490229032960).

120221021012000 is an abundant number, since it is smaller than the sum of its proper divisors (184759437053920).

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

120221021012000 is a wasteful number, since it uses less digits than its factorization.

120221021012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219212 (or 219194 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120221021012000 its reverse (210120122021), we get a palindrome (120431141134021).

The spelling of 120221021012000 in words is "one hundred twenty trillion, two hundred twenty-one billion, twenty-one million, twelve thousand".