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12102121211220 = 22325371817135317
BaseRepresentation
bin1011000000011011111010…
…1000101100010101010100
31120211221200122011010210200
42300012332220230111110
53041240121012224340
641423345430020500
72356230563000205
oct260067650542524
946757618133720
1012102121211220
113946531a16327
12143557baa7730
1369a2c08059a1
142dba6264b5ac
1515ec0d4b2330
hexb01bea2c554

12102121211220 has 72 divisors (see below), whose sum is σ = 37701923577864. Its totient is φ = 3140009826048.

The previous prime is 12102121211209. The next prime is 12102121211237. The reversal of 12102121211220 is 2211212120121.

12102121211220 is a `hidden beast` number, since 1 + 21 + 0 + 212 + 1 + 211 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 516552688656 + 11585568522564 = 718716^2 + 3403758^2 .

It is a super-2 number, since 2×121021212112202 (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 = 12102121211193 and 12102121211202.

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, 908560999 + ... + 908574318.

Almost surely, 212102121211220 is an apocalyptic number.

12102121211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102121211220 is an abundant number, since it is smaller than the sum of its proper divisors (25599802366644).

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

12102121211220 is a wasteful number, since it uses less digits than its factorization.

12102121211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817135369 (or 1817135364 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12102121211220 its reverse (2211212120121), we get a palindrome (14313333331341).

The spelling of 12102121211220 in words is "twelve trillion, one hundred two billion, one hundred twenty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 1817135317 3634270634 5451405951 7268541268 9085676585 10902811902 16354217853 18171353170 21805623804 27257029755 32708435706 36342706340 54514059510 65416871412 67234006729 81771089265 109028119020 134468013458 163542178530 201702020187 268936026916 327084357060 336170033645 403404040374 605106060561 672340067290 806808080748 1008510100935 1210212121122 1344680134580 2017020201870 2420424242244 3025530302805 4034040403740 6051060605610 12102121211220