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12141034400 = 2552111379663
BaseRepresentation
bin10110100111010100…
…10111101110100000
31011100010111110011202
423103222113232200
5144331101100100
65324424300332
7606603042515
oct132352275640
934303443152
1012141034400
11517032a930
12242a0116a8
1311b6444931
1483265130c
154b0d2d7d5
hex2d3a97ba0

12141034400 has 72 divisors (see below), whose sum is σ = 32333805504. Its totient is φ = 4414918400.

The previous prime is 12141034363. The next prime is 12141034421. The reversal of 12141034400 is 443014121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681032 + ... + 698631.

It is an arithmetic number, because the mean of its divisors is an integer number (449080632).

Almost surely, 212141034400 is an apocalyptic number.

12141034400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141034400 is an abundant number, since it is smaller than the sum of its proper divisors (20192771104).

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

12141034400 is a wasteful number, since it uses less digits than its factorization.

12141034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379694 (or 1379681 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12141034400 its reverse (443014121), we get a palindrome (12584048521).

The spelling of 12141034400 in words is "twelve billion, one hundred forty-one million, thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 1379663 2759326 5518652 6898315 11037304 13796630 15176293 22074608 27593260 30352586 34491575 44149216 55186520 60705172 68983150 75881465 110373040 121410344 137966300 151762930 220746080 242820688 275932600 303525860 379407325 485641376 551865200 607051720 758814650 1103730400 1214103440 1517629300 2428206880 3035258600 6070517200 12141034400