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12032002103220 = 22325116076768739
BaseRepresentation
bin1010111100010110101100…
…1101100001011110110100
31120121020200220200101110200
42233011223031201132310
53034113020014300340
641331231522120500
72351166141263001
oct257055315413664
946536626611420
1012032002103220
11391981a5716a0
121423a711b0130
136937c77b7438
142d84cdcac8a8
1515cea76c5330
hexaf16b3617b4

12032002103220 has 72 divisors (see below), whose sum is σ = 39814988784480. Its totient is φ = 2916848994240.

The previous prime is 12032002103201. The next prime is 12032002103227. The reversal of 12032002103220 is 2230120023021.

12032002103220 is a `hidden beast` number, since 1 + 2 + 0 + 320 + 0 + 21 + 0 + 322 + 0 = 666.

It is a super-2 number, since 2×120320021032202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12032002103193 and 12032002103202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032002103227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3038382390 + ... + 3038386349.

It is an arithmetic number, because the mean of its divisors is an integer number (552985955340).

Almost surely, 212032002103220 is an apocalyptic number.

12032002103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032002103220 is an abundant number, since it is smaller than the sum of its proper divisors (27782986681260).

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

12032002103220 is a wasteful number, since it uses less digits than its factorization.

12032002103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076768765 (or 6076768760 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12032002103220 its reverse (2230120023021), we get a palindrome (14262122126241).

The spelling of 12032002103220 in words is "twelve trillion, thirty-two billion, two million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6076768739 12153537478 18230306217 24307074956 30383843695 36460612434 54690918651 60767687390 66844456129 72921224868 91151531085 109381837302 121535374780 133688912258 182303062170 200533368387 218763674604 267377824516 273454593255 334222280645 364606124340 401066736774 546909186510 601600105161 668444561290 802133473548 1002666841935 1093818373020 1203200210322 1336889122580 2005333683870 2406400420644 3008000525805 4010667367740 6016001051610 12032002103220