12401098034080 has 192 divisors, whose sum is σ = 33534057473280. Its totient is φ = 4245322752000.

The previous prime is 12401098034071. The next prime is 12401098034137. The reversal of 12401098034080 is 8043089010421.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3756768430 + ... + 3756771730.

It is an arithmetic number, because the mean of its divisors is an integer number (174656549340).

Almost surely, 2^{12401098034080} is an apocalyptic number.

12401098034080 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 12401098034080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16767028736640).

12401098034080 is an abundant number, since it is smaller than the sum of its proper divisors (21132959439200).

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

12401098034080 is a wasteful number, since it uses less digits than its factorization.

12401098034080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7423 (or 7415 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 12401098034080 in words is "twelve trillion, four hundred one billion, ninety-eight million, thirty-four thousand, eighty".