122611012130880 has 672 divisors, whose sum is σ = 535287455712000. Its totient is φ = 25869574029312.

The previous prime is 122611012130869. The next prime is 122611012130899. The reversal of 122611012130880 is 88031210116221.

It is a happy number.

122611012130880 is a `hidden beast` number, since 1 + 2 + 2 + 611 + 0 + 1 + 2 + 1 + 30 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4223196 + ... + 16219044.

Almost surely, 2^{122611012130880} is an apocalyptic number.

122611012130880 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 122611012130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267643727856000).

122611012130880 is an abundant number, since it is smaller than the sum of its proper divisors (412676443581120).

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

122611012130880 is a wasteful number, since it uses less digits than its factorization.

122611012130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11995908 (or 11995879 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 122611012130880 in words is "one hundred twenty-two trillion, six hundred eleven billion, twelve million, one hundred thirty thousand, eight hundred eighty".