122240974934400 has 768 divisors, whose sum is σ = 469601205265920. Its totient is φ = 27371520000000.

The previous prime is 122240974934387. The next prime is 122240974934401. The reversal of 122240974934400 is 4439479042221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122240974934401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 814859400 + ... + 815009400.

It is an arithmetic number, because the mean of its divisors is an integer number (611459902690).

Almost surely, 2^{122240974934400} is an apocalyptic number.

122240974934400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122240974934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234800602632960).

122240974934400 is an abundant number, since it is smaller than the sum of its proper divisors (347360230331520).

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

122240974934400 is a wasteful number, since it uses less digits than its factorization.

122240974934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150283 (or 150266 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 122240974934400 in words is "one hundred twenty-two trillion, two hundred forty billion, nine hundred seventy-four million, nine hundred thirty-four thousand, four hundred".