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12211442304 = 27382738453
BaseRepresentation
bin10110101111101101…
…11101001010000000
31011112000222112122220
423113312331022000
5200002112123204
65335421331040
7611416355415
oct132766751200
934460875586
1012211442304
1151a704a386
122449706a80
1311c7bc7009
1483bb3c10c
154b70da1d9
hex2d7dbd280

12211442304 has 64 divisors (see below), whose sum is σ = 32476710240. Its totient is φ = 4065453056.

The previous prime is 12211442251. The next prime is 12211442387. The reversal of 12211442304 is 40324411221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298342 + ... + 336794.

Almost surely, 212211442304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16238355120).

12211442304 is an abundant number, since it is smaller than the sum of its proper divisors (20265267936).

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

12211442304 is an equidigital number, since it uses as much as digits as its factorization.

12211442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39297 (or 39285 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12211442304 its reverse (40324411221), we get a palindrome (52535853525).

The spelling of 12211442304 in words is "twelve billion, two hundred eleven million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 827 1654 2481 3308 4962 6616 9924 13232 19848 26464 38453 39696 52928 76906 79392 105856 115359 153812 158784 230718 307624 317568 461436 615248 922872 1230496 1845744 2460992 3691488 4921984 7382976 14765952 31800631 63601262 95401893 127202524 190803786 254405048 381607572 508810096 763215144 1017620192 1526430288 2035240384 3052860576 4070480768 6105721152 12211442304