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12341130420 = 22351910999317
BaseRepresentation
bin10110111111001011…
…01011010010110100
31011212002000101022110
423133211223102310
5200233312133140
65400333131020
7614552610033
oct133745532264
934762011273
1012341130420
115263278a43
122485029a70
131218a33848
1485105a71a
154c36a6380
hex2df96b4b4

12341130420 has 96 divisors (see below), whose sum is σ = 36707932800. Its totient is φ = 3089124864.

The previous prime is 12341130397. The next prime is 12341130449. The reversal of 12341130420 is 2403114321.

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, 74602 + ... + 173918.

It is an arithmetic number, because the mean of its divisors is an integer number (382374300).

Almost surely, 212341130420 is an apocalyptic number.

12341130420 is a gapful number since it is divisible by the number (10) 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 12341130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18353966400).

12341130420 is an abundant number, since it is smaller than the sum of its proper divisors (24366802380).

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

12341130420 is a wasteful number, since it uses less digits than its factorization.

12341130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99457 (or 99455 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12341130420 its reverse (2403114321), we get a palindrome (14744244741).

The spelling of 12341130420 in words is "twelve billion, three hundred forty-one million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 109 114 190 218 228 285 327 380 436 545 570 654 1090 1140 1308 1635 2071 2180 3270 4142 6213 6540 8284 10355 12426 20710 24852 31065 41420 62130 99317 124260 198634 297951 397268 496585 595902 993170 1191804 1489755 1887023 1986340 2979510 3774046 5661069 5959020 7548092 9435115 10825553 11322138 18870230 21651106 22644276 28305345 32476659 37740460 43302212 54127765 56610690 64953318 108255530 113221380 129906636 162383295 205685507 216511060 324766590 411371014 617056521 649533180 822742028 1028427535 1234113042 2056855070 2468226084 3085282605 4113710140 6170565210 12341130420