131202412000224 has 192 divisors, whose sum is σ = 358806438849600. Its totient is φ = 41927552909312.

The previous prime is 131202412000211. The next prime is 131202412000229. The reversal of 131202412000224 is 422000214202131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131202412000194 and 131202412000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131202412000229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372125332 + ... + 372477740.

It is an arithmetic number, because the mean of its divisors is an integer number (1868783535675).

Almost surely, 2^{131202412000224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131202412000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179403219424800).

131202412000224 is an abundant number, since it is smaller than the sum of its proper divisors (227604026849376).

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

131202412000224 is a wasteful number, since it uses less digits than its factorization.

131202412000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353397 (or 353389 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 131202412000224 its reverse (422000214202131), we get a palindrome (553202626202355).

The spelling of 131202412000224 in words is "one hundred thirty-one trillion, two hundred two billion, four hundred twelve million, two hundred twenty-four", and thus it is an aban number.