122312410400000 has 108 divisors (see below), whose sum is σ = 305164267666524. Its totient is φ = 48924963840000.

The previous prime is 122312410399997. The next prime is 122312410400003. The reversal of 122312410400000 is 4014213221.

It is an interprime number because it is at equal distance from previous prime (122312410399997) and next prime (122312410400003).

It can be written as a sum of positive squares in 6 ways, for example, as 88987375289344 + 33325035110656 = 9433312^2 + 5772784^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122312410400003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75645257 + ... + 77245256.

Almost surely, 2^{122312410400000} is an apocalyptic number.

122312410400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122312410400000 is an abundant number, since it is smaller than the sum of its proper divisors (182851857266524).

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

122312410400000 is an frugal number, since it uses more digits than its factorization.

122312410400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152890554 (or 152890520 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122312410400000 its reverse (4014213221), we get a palindrome (122316424613221).

The spelling of 122312410400000 in words is "one hundred twenty-two trillion, three hundred twelve billion, four hundred ten million, four hundred thousand".