122502481920 has 1152 divisors, whose sum is σ = 542905009920. Its totient is φ = 25798901760.

The previous prime is 122502481901. The next prime is 122502481921. The reversal of 122502481920 is 29184205221.

122502481920 is a `hidden beast` number, since 1 + 22 + 502 + 48 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (122502481921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226436850 + ... + 226437390.

It is an arithmetic number, because the mean of its divisors is an integer number (471271710).

Almost surely, 2^122502481920 is an apocalyptic number.

122502481920 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 122502481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271452504960).

122502481920 is an abundant number, since it is smaller than the sum of its proper divisors (420402528000).

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

122502481920 is an equidigital number, since it uses as much as digits as its factorization.

122502481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 122502481920 in words is "one hundred twenty-two billion, five hundred two million, four hundred eighty-one thousand, nine hundred twenty".