122251680 has 120 divisors (see below), whose sum is σ = 431492292. Its totient is φ = 32596992.

The previous prime is 122251637. The next prime is 122251687. The reversal of 122251680 is 86152221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 122146704 + 104976 = 11052^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (122251687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8244 + ... + 17676.

Almost surely, 2^122251680 is an apocalyptic number.

122251680 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 122251680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215746146).

122251680 is an abundant number, since it is smaller than the sum of its proper divisors (309240612).

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

122251680 is an equidigital number, since it uses as much as digits as its factorization.

122251680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 122251680 is about 11056.7481657131. The cubic root of 122251680 is about 496.3083843605.

The spelling of 122251680 in words is "one hundred twenty-two million, two hundred fifty-one thousand, six hundred eighty".