1120121031312 has 30 divisors (see below), whose sum is σ = 3134783164422. Its totient is φ = 373373677056.

The previous prime is 1120121031251. The next prime is 1120121031313. The reversal of 1120121031312 is 2131301210211.

1120121031312 is a `hidden beast` number, since 112 + 0 + 1 + 210 + 31 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1108227820176 + 11893211136 = 1052724^2 + 109056^2 .

It is a super-2 number, since 2×1120121031312² (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 not an unprimeable number, because it can be changed into a prime (1120121031313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3889308993 + ... + 3889309280.

Almost surely, 2^{1120121031312} is an apocalyptic number.

1120121031312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1120121031312 is an abundant number, since it is smaller than the sum of its proper divisors (2014662133110).

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

1120121031312 is a wasteful number, since it uses less digits than its factorization.

1120121031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778618287 (or 7778618278 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1120121031312 its reverse (2131301210211), we get a palindrome (3251422241523).

The spelling of 1120121031312 in words is "one trillion, one hundred twenty billion, one hundred twenty-one million, thirty-one thousand, three hundred twelve".