122931325753600 has 729 divisors, whose sum is σ = 383524927776963. Its totient is φ = 38880192798720.

The previous prime is 122931325753597. The next prime is 122931325753619. The reversal of 122931325753600 is 6357523139221.

The square root of 122931325753600 is 11087440.

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 31685731064064 + 91245594689536 = 5629008^2 + 9552256^2 .

It is a super-2 number, since 2×122931325753600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 80716562439 + ... + 80716563961.

Almost surely, 2^{122931325753600} is an apocalyptic number.

122931325753600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122931325753600 is the 11087440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122931325753600

122931325753600 is an abundant number, since it is smaller than the sum of its proper divisors (260593602023363).

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

122931325753600 is an frugal number, since it uses more digits than its factorization.

122931325753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 49.

122931325753600 divided by its sum of digits (49) gives a square (2508802566400 = 1583920²).

The spelling of 122931325753600 in words is "one hundred twenty-two trillion, nine hundred thirty-one billion, three hundred twenty-five million, seven hundred fifty-three thousand, six hundred".