12411901920 has 384 divisors, whose sum is σ = 43784229888. Its totient is φ = 2930278400.

The previous prime is 12411901877. The next prime is 12411901939. The reversal of 12411901920 is 2910911421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 42361294 + ... + 42361586.

It is an arithmetic number, because the mean of its divisors is an integer number (114021432).

Almost surely, 2^12411901920 is an apocalyptic number.

12411901920 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 12411901920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21892114944).

12411901920 is an abundant number, since it is smaller than the sum of its proper divisors (31372327968).

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

12411901920 is a wasteful number, since it uses less digits than its factorization.

12411901920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 12411901920 in words is "twelve billion, four hundred eleven million, nine hundred one thousand, nine hundred twenty".