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12001102022100 = 22352142328112209
BaseRepresentation
bin1010111010100011100101…
…1011000100010111010100
31120111021221102201121220210
42232220321123010113110
53033111224104201400
641305121414125420
72346023332026642
oct256507133042724
946437842647823
1012001102022100
113907703250374
121419a88950870
13690911acaa79
142d6bdc0c6192
1515c299a55950
hexaea396c45d4

12001102022100 has 72 divisors (see below), whose sum is σ = 34747591150720. Its totient is φ = 3198044782080.

The previous prime is 12001102022069. The next prime is 12001102022113. The reversal of 12001102022100 is 122020110021.

12001102022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 13629205 + ... + 14483004.

Almost surely, 212001102022100 is an apocalyptic number.

12001102022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001102022100 is an abundant number, since it is smaller than the sum of its proper divisors (22746489128620).

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

12001102022100 is a wasteful number, since it uses less digits than its factorization.

12001102022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28113649 (or 28113642 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12001102022100 its reverse (122020110021), we get a palindrome (12123122132121).

The spelling of 12001102022100 in words is "twelve trillion, one billion, one hundred two million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1423 2846 4269 5692 7115 8538 14230 17076 21345 28460 35575 42690 71150 85380 106725 142300 213450 426900 28112209 56224418 84336627 112448836 140561045 168673254 281122090 337346508 421683135 562244180 702805225 843366270 1405610450 1686732540 2108415675 2811220900 4216831350 8433662700 40003673407 80007346814 120011020221 160014693628 200018367035 240022040442 400036734070 480044080884 600055101105 800073468140 1000091835175 1200110202210 2000183670350 2400220404420 3000275505525 4000367340700 6000551011050 12001102022100