122552249213160 has 512 divisors, whose sum is σ = 479053915200000. Its totient is φ = 27593502031872.

The previous prime is 122552249213153. The next prime is 122552249213161. The reversal of 122552249213160 is 61312942255221.

122552249213160 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 5 + 22 + 492 + 131 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122552249213161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 184825 + ... + 15656904.

It is an arithmetic number, because the mean of its divisors is an integer number (935652178125).

Almost surely, 2^{122552249213160} is an apocalyptic number.

122552249213160 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 122552249213160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239526957600000).

122552249213160 is an abundant number, since it is smaller than the sum of its proper divisors (356501665986840).

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

122552249213160 is a wasteful number, since it uses less digits than its factorization.

122552249213160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15841810 (or 15841800 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 122552249213160 in words is "one hundred twenty-two trillion, five hundred fifty-two billion, two hundred forty-nine million, two hundred thirteen thousand, one hundred sixty".