122736511051812 has 144 divisors (see below), whose sum is σ = 373243706908800. Its totient is φ = 33221034040320.

The previous prime is 122736511051799. The next prime is 122736511051823. The reversal of 122736511051812 is 218150115637221.

122736511051812 is a `hidden beast` number, since 1 + 2 + 2 + 7 + 3 + 6 + 5 + 110 + 518 + 12 = 666.

It is a super-2 number, since 2×122736511051812² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 192106012 + ... + 192743852.

Almost surely, 2^{122736511051812} is an apocalyptic number.

122736511051812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122736511051812 is an abundant number, since it is smaller than the sum of its proper divisors (250507195856988).

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

122736511051812 is a wasteful number, since it uses less digits than its factorization.

122736511051812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678066 (or 678061 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 122736511051812 in words is "one hundred twenty-two trillion, seven hundred thirty-six billion, five hundred eleven million, fifty-one thousand, eight hundred twelve".