121153540033200 has 240 divisors, whose sum is σ = 390458371564800. Its totient is φ = 32110921436160.

The previous prime is 121153540033139. The next prime is 121153540033231. The reversal of 121153540033200 is 2330045351121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2508382651 + ... + 2508430949.

It is an arithmetic number, because the mean of its divisors is an integer number (1626909881520).

Almost surely, 2^{121153540033200} is an apocalyptic number.

121153540033200 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 121153540033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195229185782400).

121153540033200 is an abundant number, since it is smaller than the sum of its proper divisors (269304831531600).

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

121153540033200 is a wasteful number, since it uses less digits than its factorization.

121153540033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61004 (or 60993 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 121153540033200 its reverse (2330045351121), we get a palindrome (123483585384321).

The spelling of 121153540033200 in words is "one hundred twenty-one trillion, one hundred fifty-three billion, five hundred forty million, thirty-three thousand, two hundred".