Search a number
-
+
12212000222100 = 2235275815238201
BaseRepresentation
bin1011000110110101001111…
…1011110110101110010100
31121020110022021220020022020
42301231103323312232110
53100040134024101400
641550040534333140
72400200515116540
oct261552373665624
947213267806266
1012212000222100
113989097839528
1214529261ba1b0
136a7781c206a3
143030c7738a20
151629deb5b2a0
hexb1b53ef6b94

12212000222100 has 72 divisors (see below), whose sum is σ = 40381014074688. Its totient is φ = 2791314336000.

The previous prime is 12212000222069. The next prime is 12212000222117. The reversal of 12212000222100 is 122200021221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12212000222100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2907617001 + ... + 2907621200.

It is an arithmetic number, because the mean of its divisors is an integer number (560847417704).

Almost surely, 212212000222100 is an apocalyptic number.

12212000222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212000222100 is an abundant number, since it is smaller than the sum of its proper divisors (28169013852588).

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

12212000222100 is a wasteful number, since it uses less digits than its factorization.

12212000222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5815238225 (or 5815238218 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12212000222100 its reverse (122200021221), we get a palindrome (12334200243321).

The spelling of 12212000222100 in words is "twelve trillion, two hundred twelve billion, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 5815238201 11630476402 17445714603 23260952804 29076191005 34891429206 40706667407 58152382010 69782858412 81413334814 87228573015 116304764020 122120002221 145380955025 162826669628 174457146030 203533337035 244240004442 290761910050 348914292060 407066674070 436142865075 488480008884 581523820100 610600011105 814133348140 872285730150 1017666685175 1221200022210 1744571460300 2035333370350 2442400044420 3053000055525 4070666740700 6106000111050 12212000222100