122274950400 has 648 divisors, whose sum is σ = 459049368960. Its totient is φ = 31008768000.

The previous prime is 122274950389. The next prime is 122274950401. The reversal of 122274950400 is 4059472221.

122274950400 is a `hidden beast` number, since 122 + 2 + 7 + 495 + 0 + 40 + 0 = 666.

It is a super-3 number, since 3×122274950400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122274950401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 118597885 + ... + 118598915.

It is an arithmetic number, because the mean of its divisors is an integer number (708409520).

Almost surely, 2^122274950400 is an apocalyptic number.

122274950400 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 122274950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229524684480).

122274950400 is an abundant number, since it is smaller than the sum of its proper divisors (336774418560).

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

122274950400 is a wasteful number, since it uses less digits than its factorization.

122274950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 122274950400 in words is "one hundred twenty-two billion, two hundred seventy-four million, nine hundred fifty thousand, four hundred".