120121010221120 has 112 divisors (see below), whose sum is σ = 293813976922560. Its totient is φ = 46742627764224.

The previous prime is 120121010221111. The next prime is 120121010221127. The reversal of 120121010221120 is 21122010121021.

It is a super-2 number, since 2×120121010221120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120121010221094 and 120121010221103.

It is not an unprimeable number, because it can be changed into a prime (120121010221127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 76741671 + ... + 78291289.

Almost surely, 2^{120121010221120} is an apocalyptic number.

120121010221120 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 120121010221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146906988461280).

120121010221120 is an abundant number, since it is smaller than the sum of its proper divisors (173692966701440).

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

120121010221120 is a wasteful number, since it uses less digits than its factorization.

120121010221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556220 (or 1556210 counting only the distinct ones).

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

Adding to 120121010221120 its reverse (21122010121021), we get a palindrome (141243020342141).

The spelling of 120121010221120 in words is "one hundred twenty trillion, one hundred twenty-one billion, ten million, two hundred twenty-one thousand, one hundred twenty".