122736511053001 has 2 divisors, whose sum is σ = 122736511053002. Its totient is φ = 122736511053000.

The previous prime is 122736511052993. The next prime is 122736511053031. The reversal of 122736511053001 is 100350115637221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105014945382400 + 17721565670601 = 10247680^2 + 4209699^2 .

It is a cyclic number.

It is not a de Polignac number, because 122736511053001 - 2³ = 122736511052993 is a prime.

It is a super-2 number, since 2×122736511053001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122736511053031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61368255526500 + 61368255526501.

It is an arithmetic number, because the mean of its divisors is an integer number (61368255526501).

Almost surely, 2^{122736511053001} is an apocalyptic number.

It is an amenable number.

122736511053001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122736511053001 is an equidigital number, since it uses as much as digits as its factorization.

122736511053001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 122736511053001 in words is "one hundred twenty-two trillion, seven hundred thirty-six billion, five hundred eleven million, fifty-three thousand, one".