1220431140192 has 96 divisors (see below), whose sum is σ = 3552164146944. Its totient is φ = 363764851200.

The previous prime is 1220431140191. The next prime is 1220431140223. The reversal of 1220431140192 is 2910411340221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220431140191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9408628 + ... + 9537459.

It is an arithmetic number, because the mean of its divisors is an integer number (37001709864).

Almost surely, 2^{1220431140192} is an apocalyptic number.

1220431140192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1220431140192 is an abundant number, since it is smaller than the sum of its proper divisors (2331733006752).

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

1220431140192 is a wasteful number, since it uses less digits than its factorization.

1220431140192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18946172 (or 18946164 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 1220431140192 in words is "one trillion, two hundred twenty billion, four hundred thirty-one million, one hundred forty thousand, one hundred ninety-two".