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12240030432 = 2537193832503
BaseRepresentation
bin10110110011001000…
…00000101011100000
31011121000202222012110
423121210000223200
5200031421433212
65342322155320
7612214353630
oct133144005340
934530688173
1012240030432
1152111a6033
1224571b2b40
131200ac6476
148418606c0
154b9885a3c
hex2d9900ae0

12240030432 has 192 divisors, whose sum is σ = 38769131520. Its totient is φ = 3303120384.

The previous prime is 12240030409. The next prime is 12240030469. The reversal of 12240030432 is 23403004221.

It is a super-2 number, since 2×122400304322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12240030399 and 12240030408.

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 31 ways as a sum of consecutive naturals, for example, 4888893 + ... + 4891395.

It is an arithmetic number, because the mean of its divisors is an integer number (201922560).

Almost surely, 212240030432 is an apocalyptic number.

12240030432 is a gapful number since it is divisible by the number (12) 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 12240030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19384565760).

12240030432 is an abundant number, since it is smaller than the sum of its proper divisors (26529101088).

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

12240030432 is a wasteful number, since it uses less digits than its factorization.

12240030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12240030432 its reverse (23403004221), we get a palindrome (35643034653).

The spelling of 12240030432 in words is "twelve billion, two hundred forty million, thirty thousand, four hundred thirty-two".