122561002362000 has 160 divisors (see below), whose sum is σ = 395276202846720. Its totient is φ = 32671392921600.

The previous prime is 122561002361999. The next prime is 122561002362041. The reversal of 122561002362000 is 263200165221.

122561002362000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13392841 + ... + 20603159.

It is an arithmetic number, because the mean of its divisors is an integer number (2470476267792).

Almost surely, 2^{122561002362000} is an apocalyptic number.

122561002362000 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 122561002362000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197638101423360).

122561002362000 is an abundant number, since it is smaller than the sum of its proper divisors (272715200484720).

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

122561002362000 is a wasteful number, since it uses less digits than its factorization.

122561002362000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7213178 (or 7213162 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 122561002362000 in words is "one hundred twenty-two trillion, five hundred sixty-one billion, two million, three hundred sixty-two thousand".