20121665160 has 64 divisors (see below), whose sum is σ = 60495540480. Its totient is φ = 5354173440.

The previous prime is 20121665153. The next prime is 20121665173. The reversal of 20121665160 is 6156612102.

It is a super-2 number, since 2×20121665160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125521 + ... + 236640.

It is an arithmetic number, because the mean of its divisors is an integer number (945242820).

Almost surely, 2^20121665160 is an apocalyptic number.

20121665160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121665160 is an abundant number, since it is smaller than the sum of its proper divisors (40373875320).

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

20121665160 is a wasteful number, since it uses less digits than its factorization.

20121665160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362638 (or 362634 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 20121665160 in words is "twenty billion, one hundred twenty-one million, six hundred sixty-five thousand, one hundred sixty".