12780011520000 has 1330 divisors, whose sum is σ = 48335257944468. Its totient is φ = 3376152576000.

The previous prime is 12780011519929. The next prime is 12780011520011. The reversal of 12780011520000 is 2511008721.

12780011520000 is a `hidden beast` number, since 127 + 8 + 0 + 0 + 11 + 520 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 119439359947 + ... + 119439360053.

Almost surely, 2^{12780011520000} is an apocalyptic number.

12780011520000 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 12780011520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24167628972234).

12780011520000 is an abundant number, since it is smaller than the sum of its proper divisors (35555246424468).

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

12780011520000 is an frugal number, since it uses more digits than its factorization.

12780011520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 12780011520000 its reverse (2511008721), we get a palindrome (12782522528721).

The spelling of 12780011520000 in words is "twelve trillion, seven hundred eighty billion, eleven million, five hundred twenty thousand".