122667357121 has 9 divisors (see below), whose sum is σ = 123083092899. Its totient is φ = 122253024384.

The previous prime is 122667357107. The next prime is 122667357187. The reversal of 122667357121 is 121753766221.

It is a happy number.

The square root of 122667357121 is 350239.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 121818450625 + 848906496 = 349025^2 + 29136^2 .

It is not a de Polignac number, because 122667357121 - 2³¹ = 120519873473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122667387121) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 202087600 + ... + 202088206.

It is an arithmetic number, because the mean of its divisors is an integer number (13675899211).

Almost surely, 2^122667357121 is an apocalyptic number.

122667357121 is the 350239-th square number.

122667357121 is the 175120-th centered octagonal number.

It is an amenable number.

122667357121 is a deficient number, since it is larger than the sum of its proper divisors (415735778).

122667357121 is an frugal number, since it uses more digits than its factorization.

122667357121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 1184 counting only the distinct ones).

The product of its digits is 211680, while the sum is 43.

The spelling of 122667357121 in words is "one hundred twenty-two billion, six hundred sixty-seven million, three hundred fifty-seven thousand, one hundred twenty-one".