120210221220000 has 480 divisors, whose sum is σ = 403611771290112. Its totient is φ = 31300628352000.

The previous prime is 120210221219903. The next prime is 120210221220013. The reversal of 120210221220000 is 22122012021.

120210221220000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×120210221220000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11731254877 + ... + 11731265123.

Almost surely, 2^{120210221220000} is an apocalyptic number.

120210221220000 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 120210221220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201805885645056).

120210221220000 is an abundant number, since it is smaller than the sum of its proper divisors (283401550070112).

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

120210221220000 is a wasteful number, since it uses less digits than its factorization.

120210221220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14870 (or 14847 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 120210221220000 its reverse (22122012021), we get a palindrome (120232343232021).

The spelling of 120210221220000 in words is "one hundred twenty trillion, two hundred ten billion, two hundred twenty-one million, two hundred twenty thousand".