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12101221002200 = 2352118366271747
BaseRepresentation
bin1011000000011000100011…
…1110101010101111011000
31120211212100220020210011212
42300012020332222233120
53041231300034032300
641423120231242252
72356166352231131
oct260061076525730
946755326223155
1012101221002200
11394610a860a30
12143536a519388
1369a1a9168125
142db9b8c78c88
1515eba9443935
hexb0188faabd8

12101221002200 has 96 divisors (see below), whose sum is σ = 31062893722560. Its totient is φ = 4347426537600.

The previous prime is 12101221002161. The next prime is 12101221002209. The reversal of 12101221002200 is 220012210121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101221002209) 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, 32953274 + ... + 33318473.

It is an arithmetic number, because the mean of its divisors is an integer number (323571809610).

Almost surely, 212101221002200 is an apocalyptic number.

12101221002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101221002200 is an abundant number, since it is smaller than the sum of its proper divisors (18961672720360).

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

12101221002200 is a wasteful number, since it uses less digits than its factorization.

12101221002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66271857 (or 66271848 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12101221002200 its reverse (220012210121), we get a palindrome (12321233212321).

The spelling of 12101221002200 in words is "twelve trillion, one hundred one billion, two hundred twenty-one million, two 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 66271747 132543494 265086988 331358735 530173976 662717470 728989217 1325434940 1457978434 1656793675 2650869880 2915956868 3313587350 3644946085 5500555001 5831913736 6627174700 7289892170 11001110002 13254349400 14579784340 18224730425 22002220004 27502775005 29159568680 36449460850 44004440008 55005550010 60506105011 72898921700 110011100020 121012210022 137513875025 145797843400 220022200040 242024420044 275027750050 302530525055 484048840088 550055500100 605061050110 1100111000200 1210122100220 1512652625275 2420244200440 3025305250550 6050610501100 12101221002200