12401987770800 has 960 divisors, whose sum is σ = 49320057600000. Its totient is φ = 2943780618240.

The previous prime is 12401987770789. The next prime is 12401987770801. The reversal of 12401987770800 is 807778910421.

12401987770800 is a `hidden beast` number, since 1 + 2 + 401 + 98 + 7 + 7 + 70 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12401987770801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 375812701 + ... + 375845699.

It is an arithmetic number, because the mean of its divisors is an integer number (51375060000).

Almost surely, 2^{12401987770800} is an apocalyptic number.

12401987770800 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 12401987770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24660028800000).

12401987770800 is an abundant number, since it is smaller than the sum of its proper divisors (36918069829200).

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

12401987770800 is a wasteful number, since it uses less digits than its factorization.

12401987770800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33155 (or 33138 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 12401987770800 in words is "twelve trillion, four hundred one billion, nine hundred eighty-seven million, seven hundred seventy thousand, eight hundred".