121375800 has 576 divisors, whose sum is σ = 544608000. Its totient is φ = 24261120.

The previous prime is 121375789. The next prime is 121375811. The reversal of 121375800 is 8573121.

It is an interprime number because it is at equal distance from previous prime (121375789) and next prime (121375811).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6388191 + ... + 6388209.

It is an arithmetic number, because the mean of its divisors is an integer number (945500).

Almost surely, 2^121375800 is an apocalyptic number.

121375800 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 121375800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272304000).

121375800 is an abundant number, since it is smaller than the sum of its proper divisors (423232200).

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

121375800 is a wasteful number, since it uses less digits than its factorization.

121375800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 121375800 is about 11017.0685756239. The cubic root of 121375800 is about 495.1202646258.

The spelling of 121375800 in words is "one hundred twenty-one million, three hundred seventy-five thousand, eight hundred".