121481234179200 has 5040 divisors, whose sum is σ = 562094798884290. Its totient is φ = 25912070553600.

The previous prime is 121481234179199. The next prime is 121481234179231. The reversal of 121481234179200 is 2971432184121.

121481234179200 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 8 + 1 + 23 + 417 + 9 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 56948032217664 + 64533201961536 = 7546392^2 + 8033256^2 .

It is a tau number, because it is divible by the number of its divisors (5040).

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 629 ways as a sum of consecutive naturals, for example, 2962956931180 + ... + 2962956931220.

Almost surely, 2^{121481234179200} is an apocalyptic number.

121481234179200 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 121481234179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281047399442145).

121481234179200 is an abundant number, since it is smaller than the sum of its proper divisors (440613564705090).

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

121481234179200 is an frugal number, since it uses more digits than its factorization.

121481234179200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 121481234179200 in words is "one hundred twenty-one trillion, four hundred eighty-one billion, two hundred thirty-four million, one hundred seventy-nine thousand, two hundred".