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12212201121100 = 22522571219738959
BaseRepresentation
bin1011000110110101111111…
…1010001110010101001100
31121020110211021220221220221
42301231133322032111030
53100041041441333400
641550112512321124
72400205504540111
oct261553772162514
947213737827827
1012212201121100
113989190185962
1214529815431a4
136a77b4730c36
143031062b2908
15162a025e1c1a
hexb1b5fe8e54c

12212201121100 has 72 divisors (see below), whose sum is σ = 26606455202880. Its totient is φ = 4865349304320.

The previous prime is 12212201121053. The next prime is 12212201121101. The reversal of 12212201121100 is 112110221221.

It is not an unprimeable number, because it can be changed into a prime (12212201121101) 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, 313443421 + ... + 313482379.

It is an arithmetic number, because the mean of its divisors is an integer number (369534100040).

Almost surely, 212212201121100 is an apocalyptic number.

12212201121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212201121100 is an abundant number, since it is smaller than the sum of its proper divisors (14394254081780).

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

12212201121100 is a wasteful number, since it uses less digits than its factorization.

12212201121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51427 (or 51420 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12212201121100 its reverse (112110221221), we get a palindrome (12324311342321).

The spelling of 12212201121100 in words is "twelve trillion, two hundred twelve billion, two hundred one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 257 514 1028 1285 2570 5140 6425 12197 12850 24394 25700 38959 48788 60985 77918 121970 155836 194795 243940 304925 389590 609850 779180 973975 1219700 1947950 3134629 3895900 6269258 10012463 12538516 15673145 20024926 31346290 40049852 50062315 62692580 78365725 100124630 156731450 200249260 250311575 313462900 475182923 500623150 950365846 1001246300 1900731692 2375914615 4751829230 9503658460 11879573075 23759146150 47518292300 122122011211 244244022422 488488044844 610610056055 1221220112110 2442440224220 3053050280275 6106100560550 12212201121100