120021211122120 has 576 divisors, whose sum is σ = 511542615427200. Its totient is φ = 24939471110400.

The previous prime is 120021211122107. The next prime is 120021211122133. The reversal of 120021211122120 is 21221112120021.

120021211122120 is a `hidden beast` number, since 1 + 200 + 212 + 1 + 11 + 221 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (120021211122107) and next prime (120021211122133).

It is a super-2 number, since 2×120021211122120² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 120021211122093 and 120021211122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2968476 + ... + 15775115.

It is an arithmetic number, because the mean of its divisors is an integer number (888094818450).

Almost surely, 2^{120021211122120} is an apocalyptic number.

120021211122120 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 120021211122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255771307713600).

120021211122120 is an abundant number, since it is smaller than the sum of its proper divisors (391521404305080).

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

120021211122120 is a wasteful number, since it uses less digits than its factorization.

120021211122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18743647 (or 18743619 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120021211122120 its reverse (21221112120021), we get a palindrome (141242323242141).

The spelling of 120021211122120 in words is "one hundred twenty trillion, twenty-one billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty".