122031000 has 384 divisors, whose sum is σ = 511056000. Its totient is φ = 25574400.

The previous prime is 122030989. The next prime is 122031011. The reversal of 122031000 is 130221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122030989) and next prime (122031011).

It is a super-2 number, since 2×122031000² = 29783129922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 15.

It is a congruent number.

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, 818926 + ... + 819074.

It is an arithmetic number, because the mean of its divisors is an integer number (1330875).

Almost surely, 2^122031000 is an apocalyptic number.

122031000 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 122031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255528000).

122031000 is an abundant number, since it is smaller than the sum of its proper divisors (389025000).

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

122031000 is a wasteful number, since it uses less digits than its factorization.

122031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 122031000 is about 11046.7642321179. The cubic root of 122031000 is about 496.0095710085.

Adding to 122031000 its reverse (130221), we get a palindrome (122161221).

It can be divided in two parts, 12203 and 1000, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 122031000 in words is "one hundred twenty-two million, thirty-one thousand".