130427781120 has 1152 divisors, whose sum is σ = 577805114880. Its totient is φ = 27518828544.

The previous prime is 130427781119. The next prime is 130427781137. The reversal of 130427781120 is 21187724031.

130427781120 is a `hidden beast` number, since 1 + 30 + 427 + 7 + 81 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×130427781120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 10032906234 + ... + 10032906246.

It is an arithmetic number, because the mean of its divisors is an integer number (501566940).

Almost surely, 2^130427781120 is an apocalyptic number.

130427781120 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 130427781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288902557440).

130427781120 is an abundant number, since it is smaller than the sum of its proper divisors (447377333760).

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

130427781120 is an frugal number, since it uses more digits than its factorization.

130427781120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 130427781120 in words is "one hundred thirty billion, four hundred twenty-seven million, seven hundred eighty-one thousand, one hundred twenty".