121867200 has 672 divisors, whose sum is σ = 564408320. Its totient is φ = 24883200.

The previous prime is 121867199. The next prime is 121867247. The reversal of 121867200 is 2768121.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×121867200² = 29703228871680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3931185 + ... + 3931215.

Almost surely, 2^121867200 is an apocalyptic number.

121867200 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 121867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282204160).

121867200 is an abundant number, since it is smaller than the sum of its proper divisors (442541120).

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

121867200 is a wasteful number, since it uses less digits than its factorization.

121867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 121867200 is about 11039.3478068226. The cubic root of 121867200 is about 495.7875434180.

The spelling of 121867200 in words is "one hundred twenty-one million, eight hundred sixty-seven thousand, two hundred".