121147603200 has 1296 divisors, whose sum is σ = 511478263296. Its totient is φ = 27072921600.

The previous prime is 121147603151. The next prime is 121147603201. The reversal of 121147603200 is 2306741121.

121147603200 is a `hidden beast` number, since 1 + 2 + 11 + 47 + 603 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×121147603200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121147603201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 394617447 + ... + 394617753.

Almost surely, 2^121147603200 is an apocalyptic number.

121147603200 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 121147603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255739131648).

121147603200 is an abundant number, since it is smaller than the sum of its proper divisors (390330660096).

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

121147603200 is a wasteful number, since it uses less digits than its factorization.

121147603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 121147603200 in words is "one hundred twenty-one billion, one hundred forty-seven million, six hundred three thousand, two hundred".