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12125145340 = 22571129271499
BaseRepresentation
bin10110100101011011…
…10000100011111100
31011022000121012111001
423102231300203330
5144313014122330
65323055540044
7606321014650
oct132255604374
934260535431
1012125145340
115162368180
12242482a624
1311b3070719
148304b6a60
154ae7409ca
hex2d2b708fc

12125145340 has 96 divisors (see below), whose sum is σ = 32840640000. Its totient is φ = 3648933120.

The previous prime is 12125145337. The next prime is 12125145341. The reversal of 12125145340 is 4354152121.

It is a super-2 number, since 2×121251453402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12125145299 and 12125145308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12125145341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91090 + ... + 180409.

It is an arithmetic number, because the mean of its divisors is an integer number (342090000).

Almost surely, 212125145340 is an apocalyptic number.

12125145340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12125145340 is an abundant number, since it is smaller than the sum of its proper divisors (20715494660).

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

12125145340 is a wasteful number, since it uses less digits than its factorization.

12125145340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271555 (or 271553 counting only the distinct ones).

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

Adding to 12125145340 its reverse (4354152121), we get a palindrome (16479297461).

The spelling of 12125145340 in words is "twelve billion, one hundred twenty-five million, one hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 29 35 44 55 58 70 77 110 116 140 145 154 203 220 290 308 319 385 406 580 638 770 812 1015 1276 1540 1595 2030 2233 3190 4060 4466 6380 8932 11165 22330 44660 271499 542998 1085996 1357495 1900493 2714990 2986489 3800986 5429980 5972978 7601972 7873471 9502465 11945956 14932445 15746942 19004930 20905423 29864890 31493884 38009860 39367355 41810846 55114297 59729780 78734710 83621692 86608181 104527115 110228594 157469420 173216362 209054230 220457188 275571485 346432724 418108460 433040905 551142970 606257267 866081810 1102285940 1212514534 1732163620 2425029068 3031286335 6062572670 12125145340