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12322141552 = 2471726172
BaseRepresentation
bin10110111100111010…
…01111010101110000
31011210202021122111001
423132131033111300
5200213432012202
65354414131344
7614232321640
oct133635172560
934722248431
1012322141552
115253589366
12247a7b0b54
131214b15726
1484c716520
154c1ba4d87
hex2de74f570

12322141552 has 90 divisors (see below), whose sum is σ = 29031189752. Its totient is φ = 4962220032.

The previous prime is 12322141537. The next prime is 12322141589. The reversal of 12322141552 is 25514122321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12322141552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19970748 + ... + 19971364.

Almost surely, 212322141552 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 12322141552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515594876).

12322141552 is an abundant number, since it is smaller than the sum of its proper divisors (16709048200).

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

12322141552 is an frugal number, since it uses more digits than its factorization.

12322141552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 643 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

Multiplying 12322141552 by its sum of digits (28), we get a square (345019963456 = 5873842).

12322141552 divided by its sum of digits (28) gives a square (440076484 = 209782).

Adding to 12322141552 its reverse (25514122321), we get a palindrome (37836263873).

The spelling of 12322141552 in words is "twelve billion, three hundred twenty-two million, one hundred forty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 289 476 578 617 952 1156 1234 1904 2023 2312 2468 4046 4319 4624 4936 8092 8638 9872 10489 16184 17276 20978 32368 34552 41956 69104 73423 83912 146846 167824 178313 293692 356626 380689 587384 713252 761378 1174768 1248191 1426504 1522756 2496382 2664823 2853008 3045512 4992764 5329646 6091024 6471713 9985528 10659292 12943426 19971056 21318584 25886852 42637168 45301991 51773704 90603982 103547408 110019121 181207964 220038242 362415928 440076484 724831856 770133847 880152968 1540267694 1760305936 3080535388 6161070776 12322141552