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12102121220200 = 2352118366276677
BaseRepresentation
bin1011000000011011111010…
…1000101110100001101000
31120211221200122011121010021
42300012332220232201220
53041240121013021300
641423345430130224
72356230563035324
oct260067650564150
946757618147107
1012102121220200
113946531a22050
12143557bab0974
1369a2c0809abb
142dba62650984
1515ec0d4b4d1a
hexb01bea2e868

12102121220200 has 96 divisors (see below), whose sum is σ = 31065204512160. Its totient is φ = 4347749945600.

The previous prime is 12102121220011. The next prime is 12102121220209. The reversal of 12102121220200 is 202212120121.

It is a happy number.

It is a super-2 number, since 2×121021212202002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12102121220209) 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, 32955739 + ... + 33320938.

It is an arithmetic number, because the mean of its divisors is an integer number (323595880335).

Almost surely, 212102121220200 is an apocalyptic number.

12102121220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102121220200 is an abundant number, since it is smaller than the sum of its proper divisors (18963083291960).

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

12102121220200 is a wasteful number, since it uses less digits than its factorization.

12102121220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66276787 (or 66276778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12102121220200 its reverse (202212120121), we get a palindrome (12304333340321).

It can be divided in two parts, 12102121 and 220200, that added together give a palindrome (12322321).

The spelling of 12102121220200 in words is "twelve trillion, one hundred two billion, one hundred twenty-one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 83 88 100 110 166 200 220 275 332 415 440 550 664 830 913 1100 1660 1826 2075 2200 3320 3652 4150 4565 7304 8300 9130 16600 18260 22825 36520 45650 91300 182600 66276677 132553354 265106708 331383385 530213416 662766770 729043447 1325533540 1458086894 1656916925 2651067080 2916173788 3313833850 3645217235 5500964191 5832347576 6627667700 7290434470 11001928382 13255335400 14580868940 18226086175 22003856764 27504820955 29161737880 36452172350 44007713528 55009641910 60510606101 72904344700 110019283820 121021212202 137524104775 145808689400 220038567640 242042424404 275048209550 302553030505 484084848808 550096419100 605106061010 1100192838200 1210212122020 1512765152525 2420424244040 3025530305050 6051060610100 12102121220200