122971890 has 64 divisors (see below), whose sum is σ = 308396160. Its totient is φ = 31342080.

The previous prime is 122971853. The next prime is 122971903. The reversal of 122971890 is 98179221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92430 + ... + 93750.

It is an arithmetic number, because the mean of its divisors is an integer number (4818690).

Almost surely, 2^122971890 is an apocalyptic number.

122971890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122971890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154198080).

122971890 is an abundant number, since it is smaller than the sum of its proper divisors (185424270).

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

122971890 is a wasteful number, since it uses less digits than its factorization.

122971890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467.

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 122971890 is about 11089.2691373237. The cubic root of 122971890 is about 497.2810952463.

The spelling of 122971890 in words is "one hundred twenty-two million, nine hundred seventy-one thousand, eight hundred ninety".