122460000 has 240 divisors, whose sum is σ = 435348144. Its totient is φ = 29952000.

The previous prime is 122459999. The next prime is 122460029. The reversal of 122460000 is 64221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 779922 + ... + 780078.

Almost surely, 2^122460000 is an apocalyptic number.

122460000 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 122460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217674072).

122460000 is an abundant number, since it is smaller than the sum of its proper divisors (312888144).

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

122460000 is a wasteful number, since it uses less digits than its factorization.

122460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 122460000 is about 11066.1646472479. The cubic root of 122460000 is about 496.5901317939.

The spelling of 122460000 in words is "one hundred twenty-two million, four hundred sixty thousand".