12011619412000 has 192 divisors, whose sum is σ = 31792833072000. Its totient is φ = 4433651788800.

The previous prime is 12011619411977. The next prime is 12011619412139. The reversal of 12011619412000 is 21491611021.

It is a self number, because there is not a number n which added to its sum of digits gives 12011619412000.

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, 171512991 + ... + 171583009.

It is an arithmetic number, because the mean of its divisors is an integer number (165587672250).

Almost surely, 2^{12011619412000} is an apocalyptic number.

12011619412000 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 12011619412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15896416536000).

12011619412000 is an abundant number, since it is smaller than the sum of its proper divisors (19781213660000).

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

12011619412000 is a wasteful number, since it uses less digits than its factorization.

12011619412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73356 (or 73338 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

The spelling of 12011619412000 in words is "twelve trillion, eleven billion, six hundred nineteen million, four hundred twelve thousand".