122633935183872 has 168 divisors, whose sum is σ = 404861932531056. Its totient is φ = 35038267047936.

The previous prime is 122633935183831. The next prime is 122633935183913. The reversal of 122633935183872 is 278381539336221.

122633935183872 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 3 + 39 + 3 + 518 + 3 + 87 + 2 = 666.

122633935183872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (122633935183831) and next prime (122633935183913).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 118293133 + ... + 119325324.

It is an arithmetic number, because the mean of its divisors is an integer number (2409892455542).

Almost surely, 2^{122633935183872} is an apocalyptic number.

122633935183872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122633935183872 is an abundant number, since it is smaller than the sum of its proper divisors (282227997347184).

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

122633935183872 is an equidigital number, since it uses as much as digits as its factorization.

122633935183872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237618496 (or 237618469 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 122633935183872 in words is "one hundred twenty-two trillion, six hundred thirty-three billion, nine hundred thirty-five million, one hundred eighty-three thousand, eight hundred seventy-two".