121794214291200 has 6048 divisors, whose sum is σ = 553500761184000. Its totient is φ = 26185885286400.

The previous prime is 121794214291199. The next prime is 121794214291247. The reversal of 121794214291200 is 2192412497121.

It is a happy number.

121794214291200 is a `hidden beast` number, since 1 + 2 + 17 + 9 + 4 + 2 + 1 + 429 + 1 + 200 = 666.

It is a super-4 number, since 4×121794214291200⁴ (a number of 57 digits) contains 4444 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 671 ways as a sum of consecutive naturals, for example, 1668413894364 + ... + 1668413894436.

It is an arithmetic number, because the mean of its divisors is an integer number (91517983000).

Almost surely, 2^{121794214291200} is an apocalyptic number.

121794214291200 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 121794214291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276750380592000).

121794214291200 is an abundant number, since it is smaller than the sum of its proper divisors (431706546892800).

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

121794214291200 is a wasteful number, since it uses less digits than its factorization.

121794214291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 121794214291200 in words is "one hundred twenty-one trillion, seven hundred ninety-four billion, two hundred fourteen million, two hundred ninety-one thousand, two hundred".