122869200 has 240 divisors, whose sum is σ = 440061120. Its totient is φ = 29122560.

The previous prime is 122869199. The next prime is 122869249. The reversal of 122869200 is 2968221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387442 + ... + 387758.

It is an arithmetic number, because the mean of its divisors is an integer number (1833588).

Almost surely, 2^122869200 is an apocalyptic number.

122869200 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 122869200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220030560).

122869200 is an abundant number, since it is smaller than the sum of its proper divisors (317191920).

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

122869200 is a wasteful number, since it uses less digits than its factorization.

122869200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 122869200 is about 11084.6380184470. The cubic root of 122869200 is about 497.1426353735.

The spelling of 122869200 in words is "one hundred twenty-two million, eight hundred sixty-nine thousand, two hundred".