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12542208900 = 22352136015351
BaseRepresentation
bin10111010111001001…
…01110101110000100
31012101002101020010120
423223210232232010
5201141301141100
65432315021540
7622544005464
oct135344565604
935332336116
1012542208900
115356828201
12252043a8b0
13124b5a79b0
1486da3dba4
154d61750a0
hex2eb92eb84

12542208900 has 144 divisors (see below), whose sum is σ = 39152577408. Its totient is φ = 3081600000.

The previous prime is 12542208851. The next prime is 12542208907. The reversal of 12542208900 is 980224521.

It is not an unprimeable number, because it can be changed into a prime (12542208907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2341225 + ... + 2346575.

Almost surely, 212542208900 is an apocalyptic number.

12542208900 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 12542208900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19576288704).

12542208900 is an abundant number, since it is smaller than the sum of its proper divisors (26610368508).

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

12542208900 is a wasteful number, since it uses less digits than its factorization.

12542208900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982 (or 5975 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 12542208900 in words is "twelve billion, five hundred forty-two million, two hundred eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 601 650 780 975 1202 1300 1803 1950 2404 3005 3606 3900 5351 6010 7212 7813 9015 10702 12020 15025 15626 16053 18030 21404 23439 26755 30050 31252 32106 36060 39065 45075 46878 53510 60100 64212 69563 78130 80265 90150 93756 107020 117195 133775 139126 156260 160530 180300 195325 208689 234390 267550 278252 321060 347815 390650 401325 417378 468780 535100 585975 695630 781300 802650 834756 1043445 1171950 1391260 1605300 1739075 2086890 2343900 3215951 3478150 4173780 5217225 6431902 6956300 9647853 10434450 12863804 16079755 19295706 20868900 32159510 38591412 41807363 48239265 64319020 80398775 83614726 96478530 125422089 160797550 167229452 192957060 209036815 241196325 250844178 321595100 418073630 482392650 501688356 627110445 836147260 964785300 1045184075 1254220890 2090368150 2508441780 3135552225 4180736300 6271104450 12542208900