122112996480 has 576 divisors, whose sum is σ = 452715892200. Its totient is φ = 30321672192.

The previous prime is 122112996451. The next prime is 122112996493. The reversal of 122112996480 is 84699211221.

It is a happy number.

122112996480 is a `hidden beast` number, since 1 + 221 + 1 + 299 + 64 + 80 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 42412931136 + 79700065344 = 205944^2 + 282312^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181445424 + ... + 181446096.

Almost surely, 2^122112996480 is an apocalyptic number.

122112996480 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 122112996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226357946100).

122112996480 is an abundant number, since it is smaller than the sum of its proper divisors (330602895720).

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

122112996480 is a wasteful number, since it uses less digits than its factorization.

122112996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 122112996480 in words is "one hundred twenty-two billion, one hundred twelve million, nine hundred ninety-six thousand, four hundred eighty".