122101940160 has 168 divisors, whose sum is σ = 435534883056. Its totient is φ = 32560496640.

The previous prime is 122101940117. The next prime is 122101940189. The reversal of 122101940160 is 61049101221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707361 + ... + 862880.

It is an arithmetic number, because the mean of its divisors is an integer number (2592469542).

Almost surely, 2^122101940160 is an apocalyptic number.

122101940160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101940160 is an abundant number, since it is smaller than the sum of its proper divisors (313432942896).

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

122101940160 is an equidigital number, since it uses as much as digits as its factorization.

122101940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570273 (or 1570251 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 122101940160 in words is "one hundred twenty-two billion, one hundred one million, nine hundred forty thousand, one hundred sixty".