122615246400 has 168 divisors, whose sum is σ = 402472391904. Its totient is φ = 32681779200.

The previous prime is 122615246381. The next prime is 122615246419. The reversal of 122615246400 is 4642516221.

It is an interprime number because it is at equal distance from previous prime (122615246381) and next prime (122615246419).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12873640 + ... + 12883160.

Almost surely, 2^122615246400 is an apocalyptic number.

122615246400 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 122615246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201236195952).

122615246400 is an abundant number, since it is smaller than the sum of its proper divisors (279857145504).

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

122615246400 is a wasteful number, since it uses less digits than its factorization.

122615246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12229 (or 12214 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 122615246400 in words is "one hundred twenty-two billion, six hundred fifteen million, two hundred forty-six thousand, four hundred".