121134120230200 has 192 divisors, whose sum is σ = 351145712736000. Its totient is φ = 37754575334400.

The previous prime is 121134120230191. The next prime is 121134120230251. The reversal of 121134120230200 is 2032021431121.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 420260532 + ... + 420548668.

It is an arithmetic number, because the mean of its divisors is an integer number (1828883920500).

Almost surely, 2^{121134120230200} is an apocalyptic number.

121134120230200 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 121134120230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175572856368000).

121134120230200 is an abundant number, since it is smaller than the sum of its proper divisors (230011592505800).

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

121134120230200 is a wasteful number, since it uses less digits than its factorization.

121134120230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315470 (or 315461 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 121134120230200 its reverse (2032021431121), we get a palindrome (123166141661321).

The spelling of 121134120230200 in words is "one hundred twenty-one trillion, one hundred thirty-four billion, one hundred twenty million, two hundred thirty thousand, two hundred".