122085810 has 192 divisors, whose sum is σ = 402554880. Its totient is φ = 24935040.

The previous prime is 122085757. The next prime is 122085841. The reversal of 122085810 is 18580221.

It is a super-2 number, since 2×122085810² = 29809890006712200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 547359 + ... + 547581.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 2^122085810 is an apocalyptic number.

122085810 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 122085810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

122085810 is an abundant number, since it is smaller than the sum of its proper divisors (280469070).

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

122085810 is a wasteful number, since it uses less digits than its factorization.

122085810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 122085810 is about 11049.2447705714. The cubic root of 122085810 is about 496.0838204899.

The spelling of 122085810 in words is "one hundred twenty-two million, eighty-five thousand, eight hundred ten".