122299761600 has 1008 divisors, whose sum is σ = 475090703360. Its totient is φ = 30904934400.

The previous prime is 122299761599. The next prime is 122299761601. The reversal of 122299761600 is 6167992221.

122299761600 is a `hidden beast` number, since 1 + 2 + 2 + 29 + 9 + 7 + 616 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122299761599) and next prime (122299761601).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122299761601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 879854331 + ... + 879854469.

Almost surely, 2^122299761600 is an apocalyptic number.

122299761600 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 122299761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237545351680).

122299761600 is an abundant number, since it is smaller than the sum of its proper divisors (352790941760).

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

122299761600 is a wasteful number, since it uses less digits than its factorization.

122299761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 122299761600 in words is "one hundred twenty-two billion, two hundred ninety-nine million, seven hundred sixty-one thousand, six hundred".