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12422033532 = 2233375575581
BaseRepresentation
bin10111001000110100…
…10011000001111100
31012001201020200112000
423210122103001330
5200420020033112
65412343142300
7616554354126
oct134432230174
935051220460
1012422033532
1152a4a06717
1224a8144990
13122c71bccc
1485baba216
154ca8377dc
hex2e469307c

12422033532 has 96 divisors (see below), whose sum is σ = 33141003840. Its totient is φ = 4020814080.

The previous prime is 12422033527. The next prime is 12422033587. The reversal of 12422033532 is 23533022421.

12422033532 is a `hidden beast` number, since 124 + 2 + 2 + 0 + 3 + 3 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12422033496 and 12422033505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2222982 + ... + 2228562.

It is an arithmetic number, because the mean of its divisors is an integer number (345218790).

Almost surely, 212422033532 is an apocalyptic number.

12422033532 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 12422033532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16570501920).

12422033532 is an abundant number, since it is smaller than the sum of its proper divisors (20718970308).

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

12422033532 is a wasteful number, since it uses less digits than its factorization.

12422033532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6188 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 12422033532 its reverse (23533022421), we get a palindrome (35955055953).

The spelling of 12422033532 in words is "twelve billion, four hundred twenty-two million, thirty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 557 666 999 1114 1332 1671 1998 2228 3342 3996 5013 5581 6684 10026 11162 15039 16743 20052 20609 22324 30078 33486 41218 50229 60156 61827 66972 82436 100458 123654 150687 185481 200916 206497 247308 301374 370962 412994 556443 602748 619491 741924 825988 1112886 1238982 1858473 2225772 2477964 3108617 3716946 5575419 6217234 7433892 9325851 11150838 12434468 18651702 22301676 27977553 37303404 55955106 83932659 111910212 115018829 167865318 230037658 335730636 345056487 460075316 690112974 1035169461 1380225948 2070338922 3105508383 4140677844 6211016766 12422033532