130122213112320 has 640 divisors, whose sum is σ = 493747645628160. Its totient is φ = 28818045665280.

The previous prime is 130122213112249. The next prime is 130122213112393. The reversal of 130122213112320 is 23211312221031.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105918546 + ... + 107140014.

It is an arithmetic number, because the mean of its divisors is an integer number (771480696294).

Almost surely, 2^{130122213112320} is an apocalyptic number.

130122213112320 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 130122213112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246873822814080).

130122213112320 is an abundant number, since it is smaller than the sum of its proper divisors (363625432515840).

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

130122213112320 is a wasteful number, since it uses less digits than its factorization.

130122213112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221616 (or 1221600 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 130122213112320 its reverse (23211312221031), we get a palindrome (153333525333351).

The spelling of 130122213112320 in words is "one hundred thirty trillion, one hundred twenty-two billion, two hundred thirteen million, one hundred twelve thousand, three hundred twenty".