121131122113200 has 240 divisors, whose sum is σ = 390237674301440. Its totient is φ = 32117651159040.

The previous prime is 121131122113193. The next prime is 121131122113301. The reversal of 121131122113200 is 2311221131121.

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

It is a super-2 number, since 2×121131122113200² (a number of 29 digits) contains 22 as substring.

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, 219959796 + ... + 220509804.

Almost surely, 2^{121131122113200} is an apocalyptic number.

121131122113200 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 121131122113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195118837150720).

121131122113200 is an abundant number, since it is smaller than the sum of its proper divisors (269106552188240).

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

121131122113200 is a wasteful number, since it uses less digits than its factorization.

121131122113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551076 (or 551065 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 121131122113200 its reverse (2311221131121), we get a palindrome (123442343244321).

The spelling of 121131122113200 in words is "one hundred twenty-one trillion, one hundred thirty-one billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred".