129401906011392 has 1152 divisors, whose sum is σ = 417876118732800. Its totient is φ = 34775374233600.

The previous prime is 129401906011387. The next prime is 129401906011397. The reversal of 129401906011392 is 293110609104921.

It is an interprime number because it is at equal distance from previous prime (129401906011387) and next prime (129401906011397).

It is a super-2 number, since 2×129401906011392² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129401906011397) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 416083298917 + ... + 416083299227.

It is an arithmetic number, because the mean of its divisors is an integer number (362739686400).

Almost surely, 2^{129401906011392} is an apocalyptic number.

129401906011392 is a gapful number since it is divisible by the number (12) 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 129401906011392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208938059366400).

129401906011392 is an abundant number, since it is smaller than the sum of its proper divisors (288474212721408).

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

129401906011392 is a wasteful number, since it uses less digits than its factorization.

129401906011392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The spelling of 129401906011392 in words is "one hundred twenty-nine trillion, four hundred one billion, nine hundred six million, eleven thousand, three hundred ninety-two".