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12114153800 = 2352758714741
BaseRepresentation
bin10110100100000111…
…10101000101001000
31011021020220202220222
423102003311011020
5144302210410200
65322024205212
7606125415440
oct132203650510
934236822828
1012114153800
115157140061
122421009808
1311b09c2758
1482cc55120
154ad7bdd85
hex2d20f5148

12114153800 has 96 divisors (see below), whose sum is σ = 32246061120. Its totient is φ = 4146067200.

The previous prime is 12114153773. The next prime is 12114153803. The reversal of 12114153800 is 835141121.

It is a super-3 number, since 3×121141538003 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12114153800.

It is not an unprimeable number, because it can be changed into a prime (12114153803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 814430 + ... + 829170.

It is an arithmetic number, because the mean of its divisors is an integer number (335896470).

Almost surely, 212114153800 is an apocalyptic number.

12114153800 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 12114153800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16123030560).

12114153800 is an abundant number, since it is smaller than the sum of its proper divisors (20131907320).

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

12114153800 is a wasteful number, since it uses less digits than its factorization.

12114153800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15351 (or 15342 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 12114153800 its reverse (835141121), we get a palindrome (12949294921).

The spelling of 12114153800 in words is "twelve billion, one hundred fourteen million, one hundred fifty-three thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 587 700 1174 1400 2348 2935 4109 4696 5870 8218 11740 14675 14741 16436 20545 23480 29350 29482 32872 41090 58700 58964 73705 82180 102725 103187 117400 117928 147410 164360 205450 206374 294820 368525 410900 412748 515935 589640 737050 821800 825496 1031870 1474100 2063740 2579675 2948200 4127480 5159350 8652967 10318700 17305934 20637400 34611868 43264835 60570769 69223736 86529670 121141538 173059340 216324175 242283076 302853845 346118680 432648350 484566152 605707690 865296700 1211415380 1514269225 1730593400 2422830760 3028538450 6057076900 12114153800