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12219143040 = 27325131729331
BaseRepresentation
bin10110110000101000…
…10101001110000000
31011112120110210002100
423120110111032000
5200011100034130
65340254350400
7611542000506
oct133024251600
934476423070
1012219143040
11520042a025
1224501bb400
1311c9692170
1483cb84676
154b7b0bc60
hex2d8515380

12219143040 has 768 divisors, whose sum is σ = 49922308800. Its totient is φ = 2724986880.

The previous prime is 12219143003. The next prime is 12219143087. The reversal of 12219143040 is 4034191221.

It is a happy number.

12219143040 is a `hidden beast` number, since 1 + 2 + 2 + 191 + 430 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12219142995 and 12219143013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36915675 + ... + 36916005.

Almost surely, 212219143040 is an apocalyptic number.

12219143040 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 12219143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24961154400).

12219143040 is an abundant number, since it is smaller than the sum of its proper divisors (37703165760).

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

12219143040 is a wasteful number, since it uses less digits than its factorization.

12219143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12219143040 in words is "twelve billion, two hundred nineteen million, one hundred forty-three thousand, forty".