122656611000 has 384 divisors, whose sum is σ = 480742778880. Its totient is φ = 25486560000.

The previous prime is 122656610963. The next prime is 122656611047. The reversal of 122656611000 is 116656221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2516865 + ... + 2565135.

It is an arithmetic number, because the mean of its divisors is an integer number (1251934320).

Almost surely, 2^122656611000 is an apocalyptic number.

122656611000 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 122656611000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240371389440).

122656611000 is an abundant number, since it is smaller than the sum of its proper divisors (358086167880).

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

122656611000 is a wasteful number, since it uses less digits than its factorization.

122656611000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48324 (or 48299 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 122656611000 in words is "one hundred twenty-two billion, six hundred fifty-six million, six hundred eleven thousand".