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12121222022100 = 22325213468024469
BaseRepresentation
bin1011000001100011000100…
…1000100000001111010100
31120220202222210200212110200
42300120301020200033110
53042043230314201400
641440225034420500
72360505116133402
oct260306110401724
946822883625420
1012121222022100
113953643917244
121439210891730
1369c045b0c049
142dc955348472
1516047a311b00
hexb06312203d4

12121222022100 has 54 divisors (see below), whose sum is σ = 37993297029870. Its totient is φ = 3232325872320.

The previous prime is 12121222022081. The next prime is 12121222022113. The reversal of 12121222022100 is 122022212121.

It is a happy number.

12121222022100 is a `hidden beast` number, since 1 + 21 + 212 + 220 + 2 + 210 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2096437576464 + 10024784445636 = 1447908^2 + 3166194^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6734011335 + ... + 6734013134.

Almost surely, 212121222022100 is an apocalyptic number.

12121222022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121222022100 is an abundant number, since it is smaller than the sum of its proper divisors (25872075007770).

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

12121222022100 is a wasteful number, since it uses less digits than its factorization.

12121222022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13468024489 (or 13468024479 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12121222022100 its reverse (122022212121), we get a palindrome (12243244234221).

The spelling of 12121222022100 in words is "twelve trillion, one hundred twenty-one billion, two hundred twenty-two million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13468024469 26936048938 40404073407 53872097876 67340122345 80808146814 121212220221 134680244690 161616293628 202020367035 242424440442 269360489380 336700611725 404040734070 484848880884 606061101105 673401223450 808081468140 1010101835175 1212122202210 1346802446900 2020203670350 2424244404420 3030305505525 4040407340700 6060611011050 12121222022100