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12220010120100 = 22352367110990101
BaseRepresentation
bin1011000111010011000101…
…0111001100001110100100
31121021012222111221012201010
42301310301113030032210
53100203040042320400
641553443430302220
72400603146123046
oct261646127141644
947235874835633
1012220010120100
113991528157442
1214543a07b7970
136a845a51aac3
1430364745ba96
15162d0ce5e450
hexb1d315cc3a4

12220010120100 has 72 divisors (see below), whose sum is σ = 35452902341248. Its totient is φ = 3249790128000.

The previous prime is 12220010120083. The next prime is 12220010120137. The reversal of 12220010120100 is 102101002221.

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

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, 55384951 + ... + 55605150.

Almost surely, 212220010120100 is an apocalyptic number.

12220010120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220010120100 is an abundant number, since it is smaller than the sum of its proper divisors (23232892221148).

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

12220010120100 is a wasteful number, since it uses less digits than its factorization.

12220010120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110990485 (or 110990478 counting only the distinct ones).

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

Adding to 12220010120100 its reverse (102101002221), we get a palindrome (12322111122321).

The spelling of 12220010120100 in words is "twelve trillion, two hundred twenty billion, ten million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 367 734 1101 1468 1835 2202 3670 4404 5505 7340 9175 11010 18350 22020 27525 36700 55050 110100 110990101 221980202 332970303 443960404 554950505 665940606 1109901010 1331881212 1664851515 2219802020 2774752525 3329703030 5549505050 6659406060 8324257575 11099010100 16648515150 33297030300 40733367067 81466734134 122200101201 162933468268 203666835335 244400202402 407333670670 488800404804 611000506005 814667341340 1018334176675 1222001012010 2036668353350 2444002024020 3055002530025 4073336706700 6110005060050 12220010120100