122027290560 has 1344 divisors, whose sum is σ = 524132324352. Its totient is φ = 26443874304.

The previous prime is 122027290519. The next prime is 122027290591. The reversal of 122027290560 is 65092720221.

It is a happy number.

122027290560 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 2 + 7 + 2 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×122027290560² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1470208279 + ... + 1470208361.

It is an arithmetic number, because the mean of its divisors is an integer number (389979408).

Almost surely, 2^122027290560 is an apocalyptic number.

122027290560 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 122027290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262066162176).

122027290560 is an abundant number, since it is smaller than the sum of its proper divisors (402105033792).

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

122027290560 is an equidigital number, since it uses as much as digits as its factorization.

122027290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 122027290560 in words is "one hundred twenty-two billion, twenty-seven million, two hundred ninety thousand, five hundred sixty".