122907111977104 has 675 divisors, whose sum is σ = 318876439328523. Its totient is φ = 45862359169536.

The previous prime is 122907111977063. The next prime is 122907111977113. The reversal of 122907111977104 is 401779111709221.

It is a happy number.

The square root of 122907111977104 is 11086348.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2055610387600 + 120851501589504 = 1433740^2 + 10993248^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 536712279262 + ... + 536712279490.

Almost surely, 2^{122907111977104} is an apocalyptic number.

122907111977104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

122907111977104 is the 11086348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122907111977104

122907111977104 is an abundant number, since it is smaller than the sum of its proper divisors (195969327351419).

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

122907111977104 is an frugal number, since it uses more digits than its factorization.

122907111977104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 52.

The spelling of 122907111977104 in words is "one hundred twenty-two trillion, nine hundred seven billion, one hundred eleven million, nine hundred seventy-seven thousand, one hundred four".