12400094206080 has 1536 divisors, whose sum is σ = 52550095403520. Its totient is φ = 2630025216000.

The previous prime is 12400094206069. The next prime is 12400094206081. The reversal of 12400094206080 is 8060249000421.

12400094206080 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 0 + 0 + 9 + 42 + 0 + 608 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12400094206081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17689149730 + ... + 17689150430.

It is an arithmetic number, because the mean of its divisors is an integer number (34212301695).

Almost surely, 2^{12400094206080} is an apocalyptic number.

12400094206080 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 12400094206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26275047701760).

12400094206080 is an abundant number, since it is smaller than the sum of its proper divisors (40150001197440).

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

12400094206080 is a wasteful number, since it uses less digits than its factorization.

12400094206080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12400094206080 in words is "twelve trillion, four hundred billion, ninety-four million, two hundred six thousand, eighty".