121627800 has 288 divisors, whose sum is σ = 478764000. Its totient is φ = 27659520.

The previous prime is 121627799. The next prime is 121627801. The reversal of 121627800 is 8726121.

It is an interprime number because it is at equal distance from previous prime (121627799) and next prime (121627801).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121627801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 617302 + ... + 617498.

It is an arithmetic number, because the mean of its divisors is an integer number (1662375).

Almost surely, 2^121627800 is an apocalyptic number.

121627800 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 121627800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239382000).

121627800 is an abundant number, since it is smaller than the sum of its proper divisors (357136200).

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

121627800 is a wasteful number, since it uses less digits than its factorization.

121627800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

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

The square root of 121627800 is about 11028.4994446207. The cubic root of 121627800 is about 495.4626833972.

The spelling of 121627800 in words is "one hundred twenty-one million, six hundred twenty-seven thousand, eight hundred".