121756559400 has 336 divisors, whose sum is σ = 485069028000. Its totient is φ = 27829837440.

The previous prime is 121756559383. The next prime is 121756559437. The reversal of 121756559400 is 4955657121.

It is a happy number.

121756559400 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 56 + 5 + 594 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 960951 + ... + 1080249.

Almost surely, 2^121756559400 is an apocalyptic number.

121756559400 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 121756559400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242534514000).

121756559400 is an abundant number, since it is smaller than the sum of its proper divisors (363312468600).

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

121756559400 is a wasteful number, since it uses less digits than its factorization.

121756559400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119340 (or 119316 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 121756559400 in words is "one hundred twenty-one billion, seven hundred fifty-six million, five hundred fifty-nine thousand, four hundred".