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12220001102100 = 22352113703030637
BaseRepresentation
bin1011000111010011000011…
…0100110010100100010100
31121021012221212222001100010
42301310300310302210110
53100203030240231400
641553442505120220
72400603006353361
oct261646064624424
947235855861303
1012220001102100
113991523058050
121454399789070
136a84586b11cc
14303646191468
15162d0c27c450
hexb1d30d32914

12220001102100 has 72 divisors (see below), whose sum is σ = 38570767125408. Its totient is φ = 2962424508800.

The previous prime is 12220001102087. The next prime is 12220001102107. The reversal of 12220001102100 is 120110002221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220001102107) by changing a digit.

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, 1851512019 + ... + 1851518618.

It is an arithmetic number, because the mean of its divisors is an integer number (535705098964).

Almost surely, 212220001102100 is an apocalyptic number.

12220001102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220001102100 is an abundant number, since it is smaller than the sum of its proper divisors (26350766023308).

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

12220001102100 is a wasteful number, since it uses less digits than its factorization.

12220001102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703030665 (or 3703030658 counting only the distinct ones).

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

Adding to 12220001102100 its reverse (120110002221), we get a palindrome (12340111104321).

The spelling of 12220001102100 in words is "twelve trillion, two hundred twenty billion, one million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3703030637 7406061274 11109091911 14812122548 18515153185 22218183822 37030306370 40733337007 44436367644 55545459555 74060612740 81466674014 92575765925 111090919110 122200011021 162933348028 185151531850 203666685035 222181838220 244400022042 277727297775 370303063700 407333370070 488800044084 555454595550 611000055105 814666740140 1018333425175 1110909191100 1222000110210 2036666850350 2444000220420 3055000275525 4073333700700 6110000551050 12220001102100