121705256534400 has 6912 divisors, whose sum is σ = 614064447360000. Its totient is φ = 22818358886400.

The previous prime is 121705256534383. The next prime is 121705256534429. The reversal of 121705256534400 is 4435652507121.

121705256534400 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 0 + 52 + 565 + 34 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×121705256534400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 522340156684 + ... + 522340156916.

It is an arithmetic number, because the mean of its divisors is an integer number (88840342500).

Almost surely, 2^{121705256534400} is an apocalyptic number.

121705256534400 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 121705256534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307032223680000).

121705256534400 is an abundant number, since it is smaller than the sum of its proper divisors (492359190825600).

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

121705256534400 is a wasteful number, since it uses less digits than its factorization.

121705256534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 121705256534400 in words is "one hundred twenty-one trillion, seven hundred five billion, two hundred fifty-six million, five hundred thirty-four thousand, four hundred".