121133491147200 has 336 divisors, whose sum is σ = 454227004111104. Its totient is φ = 27685576704000.

The previous prime is 121133491147169. The next prime is 121133491147213. The reversal of 121133491147200 is 2741194331121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 471985312 + ... + 472241888.

It is an arithmetic number, because the mean of its divisors is an integer number (1351866083664).

Almost surely, 2^{121133491147200} is an apocalyptic number.

121133491147200 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 121133491147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227113502055552).

121133491147200 is an abundant number, since it is smaller than the sum of its proper divisors (333093512963904).

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

121133491147200 is a wasteful number, since it uses less digits than its factorization.

121133491147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270660 (or 270645 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 121133491147200 in words is "one hundred twenty-one trillion, one hundred thirty-three billion, four hundred ninety-one million, one hundred forty-seven thousand, two hundred".