122736511052416 has 16 divisors (see below), whose sum is σ = 244514143112490. Its totient is φ = 61368255526144.

The previous prime is 122736511052383. The next prime is 122736511052471. The reversal of 122736511052416 is 614250115637221.

It can be written as a sum of positive squares in only one way, i.e., 72170190052416 + 50566321000000 = 8495304^2 + 7111000^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×122736511052416² (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 as a sum of consecutive naturals, namely, 479439496171 + ... + 479439496426.

Almost surely, 2^{122736511052416} is an apocalyptic number.

122736511052416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122736511052416 is a deficient number, since it is larger than the sum of its proper divisors (121777632060074).

122736511052416 is an frugal number, since it uses more digits than its factorization.

122736511052416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958878992611 (or 958878992599 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

Adding to 122736511052416 its reverse (614250115637221), we get a palindrome (736986626689637).

The spelling of 122736511052416 in words is "one hundred twenty-two trillion, seven hundred thirty-six billion, five hundred eleven million, fifty-two thousand, four hundred sixteen".