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12204048384 = 2163411219
BaseRepresentation
bin10110101110110101…
…10000000000000000
31011111112001220010000
423113122300000000
5144443214022014
65334555040000
7611266461663
oct132732600000
934445056100
1012204048384
1151a295a200
122447140000
1311c6508708
1483ab756da
154b6629509
hex2d76b0000

12204048384 has 510 divisors, whose sum is σ = 42186512060. Its totient is φ = 3503554560.

The previous prime is 12204048379. The next prime is 12204048443. The reversal of 12204048384 is 48384040221.

It is a super-2 number, since 2×122040483842 (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 an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 642318327 + ... + 642318345.

Almost surely, 212204048384 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 12204048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21093256030).

12204048384 is an abundant number, since it is smaller than the sum of its proper divisors (29982463676).

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

12204048384 is an frugal number, since it uses more digits than its factorization.

12204048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 12204048384 in words is "twelve billion, two hundred four million, forty-eight thousand, three hundred eighty-four".