122902000 has 160 divisors (see below), whose sum is σ = 333103680. Its totient is φ = 43545600.

The previous prime is 122901983. The next prime is 122902009. The reversal of 122902000 is 209221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122902009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753919 + ... + 754081.

It is an arithmetic number, because the mean of its divisors is an integer number (2081898).

Almost surely, 2^122902000 is an apocalyptic number.

122902000 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 122902000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166551840).

122902000 is an abundant number, since it is smaller than the sum of its proper divisors (210201680).

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

122902000 is a wasteful number, since it uses less digits than its factorization.

122902000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 122902000 is about 11086.1174448046. The cubic root of 122902000 is about 497.1868689370.

The spelling of 122902000 in words is "one hundred twenty-two million, nine hundred two thousand".