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22121200001100 = 22352371992900901
BaseRepresentation
bin1010000011110011111100…
…10001001010000001001100
32220022202200110111100011110
411001321332101022001030
510344413204200013400
6115014201115452020
74442126646363564
oct501717621120114
986282613440143
1022121200001100
11705960377a592
1225932a1157010
13c46035527295
14566959583da4
15285653354e50
hex141e7e44a04c

22121200001100 has 72 divisors (see below), whose sum is σ = 65733843351568. Its totient is φ = 5739554592000.

The previous prime is 22121200001083. The next prime is 22121200001119. The reversal of 22121200001100 is 110000212122.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996439351 + ... + 996461550.

Almost surely, 222121200001100 is an apocalyptic number.

22121200001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22121200001100 is an abundant number, since it is smaller than the sum of its proper divisors (43612643350468).

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

22121200001100 is a wasteful number, since it uses less digits than its factorization.

22121200001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992900955 (or 1992900948 counting only the distinct ones).

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

Adding to 22121200001100 its reverse (110000212122), we get a palindrome (22231200213222).

The spelling of 22121200001100 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred million, one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 1992900901 3985801802 5978702703 7971603604 9964504505 11957405406 19929009010 23914810812 29893513515 39858018020 49822522525 59787027030 73737333337 99645045050 119574054060 147474666674 149467567575 199290090100 221212000011 294949333348 298935135150 368686666685 442424000022 597870270300 737373333370 884848000044 1106060000055 1474746666740 1843433333425 2212120000110 3686866666850 4424240000220 5530300000275 7373733333700 11060600000550 22121200001100