122151300 has 72 divisors (see below), whose sum is σ = 362080992. Its totient is φ = 31776000.

The previous prime is 122151283. The next prime is 122151313. The reversal of 122151300 is 3151221.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122151300.

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 23 ways as a sum of consecutive naturals, for example, 7335 + ... + 17265.

Almost surely, 2^122151300 is an apocalyptic number.

122151300 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 122151300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181040496).

122151300 is an abundant number, since it is smaller than the sum of its proper divisors (239929692).

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

122151300 is a wasteful number, since it uses less digits than its factorization.

122151300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9989 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 122151300 is about 11052.2079242113. The cubic root of 122151300 is about 496.1725087164.

The spelling of 122151300 in words is "one hundred twenty-two million, one hundred fifty-one thousand, three hundred".