120021211210120 has 128 divisors (see below), whose sum is σ = 304627721702400. Its totient is φ = 42163000934400.

The previous prime is 120021211210091. The next prime is 120021211210123. The reversal of 120021211210120 is 21012112120021.

120021211210120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120021211210120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120021211210094 and 120021211210103.

It is not an unprimeable number, because it can be changed into a prime (120021211210123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245316 + ... + 15495244.

It is an arithmetic number, because the mean of its divisors is an integer number (2379904075800).

Almost surely, 2^{120021211210120} is an apocalyptic number.

120021211210120 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 120021211210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152313860851200).

120021211210120 is an abundant number, since it is smaller than the sum of its proper divisors (184606510492280).

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

120021211210120 is a wasteful number, since it uses less digits than its factorization.

120021211210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15250559 (or 15250555 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120021211210120 its reverse (21012112120021), we get a palindrome (141033323330141).

Subtracting from 120021211210120 its reverse (21012112120021), we obtain a palindrome (99009099090099).

The spelling of 120021211210120 in words is "one hundred twenty trillion, twenty-one billion, two hundred eleven million, two hundred ten thousand, one hundred twenty".