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120011221102200 = 23352286876972451
BaseRepresentation
bin11011010010011001001010…
…001100111110111001111000
3120201220221221100021002101020
4123102121022030332321320
5111212230440100232300
61103124221024022440
734164344636033631
oct3322311214767170
9521827840232336
10120011221102200
113526a52269839a
1211562b8b161a20
1351c70180b960c
14218c807456888
15dd1b7981b8a0
hex6d264a33ee78

120011221102200 has 96 divisors (see below), whose sum is σ = 372047807535360. Its totient is φ = 32001872112000.

The previous prime is 120011221102183. The next prime is 120011221102231. The reversal of 120011221102200 is 2201122110021.

It is a super-2 number, since 2×1200112211022002 (a number of 29 digits) contains 22 as substring.

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 120011221102200.

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, 13725975 + ... + 20698425.

It is an arithmetic number, because the mean of its divisors is an integer number (3875497995160).

Almost surely, 2120011221102200 is an apocalyptic number.

120011221102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120011221102200 is an abundant number, since it is smaller than the sum of its proper divisors (252036586433160).

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

120011221102200 is a wasteful number, since it uses less digits than its factorization.

120011221102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001157 (or 7001148 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120011221102200 its reverse (2201122110021), we get a palindrome (122212343212221).

The spelling of 120011221102200 in words is "one hundred twenty trillion, eleven billion, two hundred twenty-one million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 28687 57374 86061 114748 143435 172122 229496 286870 344244 430305 573740 688488 717175 860610 1147480 1434350 1721220 2151525 2868700 3442440 4303050 5737400 6972451 8606100 13944902 17212200 20917353 27889804 34862255 41834706 55779608 69724510 83669412 104586765 139449020 167338824 174311275 209173530 278898040 348622550 418347060 522933825 697245100 836694120 1045867650 1394490200 2091735300 4183470600 200018701837 400037403674 600056105511 800074807348 1000093509185 1200112211022 1600149614696 2000187018370 2400224422044 3000280527555 4000374036740 4800448844088 5000467545925 6000561055110 8000748073480 10000935091850 12001122110220 15001402637775 20001870183700 24002244220440 30002805275550 40003740367400 60005610551100 120011221102200