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12011221200120 = 2335105195236451
BaseRepresentation
bin1010111011001001010010…
…0100101010110011111000
31120112021001122202010112220
42232302110210222303320
53033242440111400440
641313513455204040
72346532154440452
oct256622444526370
946467048663486
1012011221200120
113910a2626560a
12141ba31816620
136918653b4c7c
142d74bbdcd2d2
1515c68d1058d0
hexaec9492acf8

12011221200120 has 64 divisors (see below), whose sum is σ = 36067949101440. Its totient is φ = 3199944720000.

The previous prime is 12011221200091. The next prime is 12011221200149. The reversal of 12011221200120 is 2100212211021.

12011221200120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12011221200091) and next prime (12011221200149).

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 12011221200120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47492106 + ... + 47744345.

It is an arithmetic number, because the mean of its divisors is an integer number (563561704710).

Almost surely, 212011221200120 is an apocalyptic number.

12011221200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011221200120 is an abundant number, since it is smaller than the sum of its proper divisors (24056727901320).

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

12011221200120 is a wasteful number, since it uses less digits than its factorization.

12011221200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95237516 (or 95237512 counting only the distinct ones).

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

Adding to 12011221200120 its reverse (2100212211021), we get a palindrome (14111433411141).

The spelling of 12011221200120 in words is "twelve trillion, eleven billion, two hundred twenty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1051 2102 3153 4204 5255 6306 8408 10510 12612 15765 21020 25224 31530 42040 63060 126120 95236451 190472902 285709353 380945804 476182255 571418706 761891608 952364510 1142837412 1428546765 1904729020 2285674824 2857093530 3809458040 5714187060 11428374120 100093510001 200187020002 300280530003 400374040004 500467550005 600561060006 800748080008 1000935100010 1201122120012 1501402650015 2001870200020 2402244240024 3002805300030 4003740400040 6005610600060 12011221200120