130242121231200 has 864 divisors, whose sum is σ = 478504537499520. Its totient is φ = 30729059328000.

The previous prime is 130242121231193. The next prime is 130242121231237. The reversal of 130242121231200 is 2132121242031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4988768547 + ... + 4988794653.

It is an arithmetic number, because the mean of its divisors is an integer number (553824696180).

Almost surely, 2^{130242121231200} is an apocalyptic number.

130242121231200 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 130242121231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239252268749760).

130242121231200 is an abundant number, since it is smaller than the sum of its proper divisors (348262416268320).

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

130242121231200 is a wasteful number, since it uses less digits than its factorization.

130242121231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26612 (or 26588 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 130242121231200 its reverse (2132121242031), we get a palindrome (132374242473231).

The spelling of 130242121231200 in words is "one hundred thirty trillion, two hundred forty-two billion, one hundred twenty-one million, two hundred thirty-one thousand, two hundred".