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12101122011220 = 22511210149509541
BaseRepresentation
bin1011000000011000001100…
…0101000011000001010100
31120211212002222222112002021
42300012003011003001110
53041231044213324340
641423102333422524
72356164040640524
oct260060305030124
946755088875067
1012101122011220
113946069999600
12143534133aa44
1369a1917b8998
142db9a9a6b684
1515eba08dce4a
hexb0183143054

12101122011220 has 72 divisors (see below), whose sum is σ = 28209150764424. Its totient is φ = 4356839520000.

The previous prime is 12101122011217. The next prime is 12101122011241. The reversal of 12101122011220 is 2211022110121.

It can be written as a sum of positive squares in 4 ways, for example, as 690900089616 + 11410221921604 = 831204^2 + 3377902^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12101122011194 and 12101122011203.

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, 24510351 + ... + 24999190.

It is an arithmetic number, because the mean of its divisors is an integer number (391793760617).

Almost surely, 212101122011220 is an apocalyptic number.

12101122011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101122011220 is an abundant number, since it is smaller than the sum of its proper divisors (16108028753204).

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

12101122011220 is a wasteful number, since it uses less digits than its factorization.

12101122011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49509673 (or 49509660 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 12101122011220 its reverse (2211022110121), we get a palindrome (14312144121341).

The spelling of 12101122011220 in words is "twelve trillion, one hundred one billion, one hundred twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 121 202 220 242 404 484 505 605 1010 1111 1210 2020 2222 2420 4444 5555 11110 12221 22220 24442 48884 61105 122210 244420 49509541 99019082 198038164 247547705 495095410 544604951 990190820 1089209902 2178419804 2723024755 5000463641 5446049510 5990654461 10000927282 10892099020 11981308922 20001854564 23962617844 25002318205 29953272305 50004636410 55005100051 59906544610 100009272820 110010200102 119813089220 220020400204 275025500255 550051000510 605056100561 1100102001020 1210112201122 2420224402244 3025280502805 6050561005610 12101122011220