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12217940640 = 2533510092803
BaseRepresentation
bin10110110000011111…
…01111101010100000
31011112111012200201000
423120033233222200
5200010243100030
65340212512000
7611525532123
oct133017575240
934474180630
1012217940640
1151aa788704
12244b91b600
1311c9360a99
1483c9503ba
154b7970860
hex2d83efaa0

12217940640 has 192 divisors, whose sum is σ = 42820444800. Its totient is φ = 3253727232.

The previous prime is 12217940597. The next prime is 12217940701. The reversal of 12217940640 is 4604971221.

It is a happy number.

12217940640 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 7 + 9 + 4 + 0 + 640 = 666.

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 = 12217940595 and 12217940604.

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, 4357479 + ... + 4360281.

It is an arithmetic number, because the mean of its divisors is an integer number (223023150).

Almost surely, 212217940640 is an apocalyptic number.

12217940640 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 12217940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21410222400).

12217940640 is an abundant number, since it is smaller than the sum of its proper divisors (30602504160).

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

12217940640 is a wasteful number, since it uses less digits than its factorization.

12217940640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3836 (or 3822 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12217940640 in words is "twelve billion, two hundred seventeen million, nine hundred forty thousand, six hundred forty".