1022121231120 has 120 divisors (see below), whose sum is σ = 3744680539392. Its totient is φ = 247786963200.

The previous prime is 1022121231113. The next prime is 1022121231163. The reversal of 1022121231120 is 211321212201.

1022121231120 is a `hidden beast` number, since 102 + 21 + 212 + 311 + 20 = 666.

1022121231120 is digitally balanced in base 2, 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 (120).

It is a super-2 number, since 2×1022121231120² (a number of 25 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 = 1022121231093 and 1022121231102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64519936 + ... + 64535775.

Almost surely, 2^{1022121231120} is an apocalyptic number.

1022121231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022121231120 is an abundant number, since it is smaller than the sum of its proper divisors (2722559308272).

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

1022121231120 is a wasteful number, since it uses less digits than its factorization.

1022121231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129055741 (or 129055732 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1022121231120 its reverse (211321212201), we get a palindrome (1233442443321).

The spelling of 1022121231120 in words is "one trillion, twenty-two billion, one hundred twenty-one million, two hundred thirty-one thousand, one hundred twenty".