12219296040 has 512 divisors, whose sum is σ = 50894438400. Its totient is φ = 2543063040.

The previous prime is 12219296003. The next prime is 12219296077. The reversal of 12219296040 is 4069291221.

12219296040 is a `hidden beast` number, since 1 + 2 + 21 + 9 + 29 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12219296003) and next prime (12219296077).

It is a super-2 number, since 2×12219296040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12219295986 and 12219296004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3982587 + ... + 3985653.

It is an arithmetic number, because the mean of its divisors is an integer number (99403200).

Almost surely, 2^12219296040 is an apocalyptic number.

12219296040 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 12219296040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25447219200).

12219296040 is an abundant number, since it is smaller than the sum of its proper divisors (38675142360).

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

12219296040 is a wasteful number, since it uses less digits than its factorization.

12219296040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12219296040 in words is "twelve billion, two hundred nineteen million, two hundred ninety-six thousand, forty".