129470101881120 has 3840 divisors, whose sum is σ = 651946085683200. Its totient is φ = 23301783060480.

The previous prime is 129470101881083. The next prime is 129470101881157. The reversal of 129470101881120 is 21188101074921.

129470101881120 is a `hidden beast` number, since 1 + 294 + 70 + 1 + 0 + 188 + 112 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (129470101881083) and next prime (129470101881157).

It is a super-2 number, since 2×129470101881120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 26374025226 + ... + 26374030134.

It is an arithmetic number, because the mean of its divisors is an integer number (169777626480).

Almost surely, 2^{129470101881120} is an apocalyptic number.

129470101881120 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 129470101881120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325973042841600).

129470101881120 is an abundant number, since it is smaller than the sum of its proper divisors (522475983802080).

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

129470101881120 is a wasteful number, since it uses less digits than its factorization.

129470101881120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5093 (or 5076 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 129470101881120 in words is "one hundred twenty-nine trillion, four hundred seventy billion, one hundred one million, eight hundred eighty-one thousand, one hundred twenty".