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12010442224 = 2411971574481
BaseRepresentation
bin10110010111110000…
…01100110111110000
31011000000202200101111
423023320030313300
5144044133122344
65303441243104
7603426034354
oct131370146760
934000680344
1012010442224
115103644010
1223b2333494
13119537c761
1481d179464
154a4634834
hex2cbe0cdf0

12010442224 has 80 divisors (see below), whose sum is σ = 25816535136. Its totient is φ = 5367398400.

The previous prime is 12010442207. The next prime is 12010442261. The reversal of 12010442224 is 42224401021.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12010442195 and 12010442204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2678064 + ... + 2682544.

Almost surely, 212010442224 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 12010442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12908267568).

12010442224 is an abundant number, since it is smaller than the sum of its proper divisors (13806092912).

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

12010442224 is a wasteful number, since it uses less digits than its factorization.

12010442224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4754 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 12010442224 its reverse (42224401021), we get a palindrome (54234843245).

The spelling of 12010442224 in words is "twelve billion, ten million, four hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 97 157 176 194 314 388 628 776 1067 1256 1552 1727 2134 2512 3454 4268 4481 6908 8536 8962 13816 15229 17072 17924 27632 30458 35848 49291 60916 71696 98582 121832 167519 197164 243664 335038 394328 434657 670076 703517 788656 869314 1340152 1407034 1738628 2680304 2814068 3477256 4781227 5628136 6954512 7738687 9562454 11256272 15477374 19124908 30954748 38249816 61909496 68241149 76499632 123818992 136482298 272964596 545929192 750652639 1091858384 1501305278 3002610556 6005221112 12010442224