12042762090408 has 192 divisors, whose sum is σ = 39513953381760. Its totient is φ = 3234609082368.

The previous prime is 12042762090361. The next prime is 12042762090473. The reversal of 12042762090408 is 80409026724021.

12042762090408 is a `hidden beast` number, since 12 + 0 + 4 + 2 + 7 + 620 + 9 + 0 + 4 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6522735 + ... + 8162817.

It is an arithmetic number, because the mean of its divisors is an integer number (205801840530).

Almost surely, 2^{12042762090408} is an apocalyptic number.

12042762090408 is a gapful number since it is divisible by the number (18) 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 12042762090408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19756976690880).

12042762090408 is an abundant number, since it is smaller than the sum of its proper divisors (27471191291352).

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

12042762090408 is a wasteful number, since it uses less digits than its factorization.

12042762090408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640976 (or 1640969 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 12042762090408 in words is "twelve trillion, forty-two billion, seven hundred sixty-two million, ninety thousand, four hundred eight".