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12024111232 = 2771031131153
BaseRepresentation
bin10110011001011000…
…10110000010000000
31011000222111010202001
423030230112002000
5144111133024412
65305050233344
7603653154610
oct131454260200
934028433661
1012024111232
11511032a811
1223b6a25854
131198157323
14820cd6a40
154a5934957
hex2ccb16080

12024111232 has 128 divisors (see below), whose sum is σ = 27910920960. Its totient is φ = 5053612032.

The previous prime is 12024111227. The next prime is 12024111233. The reversal of 12024111232 is 23211142021.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (12024111233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10427968 + ... + 10429120.

It is an arithmetic number, because the mean of its divisors is an integer number (218054070).

Almost surely, 212024111232 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 12024111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13955460480).

12024111232 is an abundant number, since it is smaller than the sum of its proper divisors (15886809728).

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

12024111232 is a wasteful number, since it uses less digits than its factorization.

12024111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12024111232 its reverse (23211142021), we get a palindrome (35235253253).

It can be divided in two parts, 12024 and 111232, that added together give a triangular number (123256 = T496).

The spelling of 12024111232 in words is "twelve billion, twenty-four million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 113 128 206 224 226 412 448 452 721 791 824 896 904 1153 1442 1582 1648 1808 2306 2884 3164 3296 3616 4612 5768 6328 6592 7232 8071 9224 11536 11639 12656 13184 14464 16142 18448 23072 23278 25312 32284 36896 46144 46556 50624 64568 73792 81473 92288 93112 101248 118759 129136 130289 147584 162946 186224 237518 258272 260578 325892 372448 475036 516544 521156 651784 744896 831313 912023 950072 1033088 1042312 1303568 1489792 1662626 1824046 1900144 2084624 2607136 3325252 3648092 3800288 4169248 5214272 6650504 7296184 7600576 8338496 10428544 13301008 13419767 14592368 15201152 16676992 26602016 26839534 29184736 53204032 53679068 58369472 93938369 106408064 107358136 116738944 187876738 214716272 375753476 429432544 751506952 858865088 1503013904 1717730176 3006027808 6012055616 12024111232