122696078400 has 945 divisors, whose sum is σ = 528434049429. Its totient is φ = 27843056640.

The previous prime is 122696078389. The next prime is 122696078413. The reversal of 122696078400 is 4870696221.

It is a happy number.

The square root of 122696078400 is 350280.

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

122696078400 is a `hidden beast` number, since 12 + 26 + 9 + 607 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44170588224 + 78525490176 = 210168^2 + 280224^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 882705531 + ... + 882705669.

Almost surely, 2^122696078400 is an apocalyptic number.

122696078400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122696078400 is the 350280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122696078400

122696078400 is an abundant number, since it is smaller than the sum of its proper divisors (405737971029).

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

122696078400 is an equidigital number, since it uses as much as digits as its factorization.

122696078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 122696078400 in words is "one hundred twenty-two billion, six hundred ninety-six million, seventy-eight thousand, four hundred".