121672800 has 288 divisors, whose sum is σ = 453720960. Its totient is φ = 31449600.

The previous prime is 121672787. The next prime is 121672813. The reversal of 121672800 is 8276121.

It is an interprime number because it is at equal distance from previous prime (121672787) and next prime (121672813).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 928735 + ... + 928865.

It is an arithmetic number, because the mean of its divisors is an integer number (1575420).

Almost surely, 2^121672800 is an apocalyptic number.

121672800 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 121672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860480).

121672800 is an abundant number, since it is smaller than the sum of its proper divisors (332048160).

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

121672800 is a wasteful number, since it uses less digits than its factorization.

121672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

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

The square root of 121672800 is about 11030.5394247063. The cubic root of 121672800 is about 495.5237798232.

The spelling of 121672800 in words is "one hundred twenty-one million, six hundred seventy-two thousand, eight hundred".