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12100211101220 = 22511296918525079
BaseRepresentation
bin1011000000010100110011…
…0010001100111000100100
31120211202202111221111110212
42300011030302030320210
53041222213020214340
641422432113434552
72356132340222324
oct260051462147044
946752674844425
1012100211101220
113945741795420
12143512826ba58
1369a077b72498
142db920ab1284
1515eb4a958a65
hexb014cc8ce24

12100211101220 has 48 divisors (see below), whose sum is σ = 27729821750400. Its totient is φ = 4398594520320.

The previous prime is 12100211101211. The next prime is 12100211101241. The reversal of 12100211101220 is 2210111200121.

It is a junction number, because it is equal to n+sod(n) for n = 12100211101195 and 12100211101204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8609360 + ... + 9915719.

It is an arithmetic number, because the mean of its divisors is an integer number (577704619800).

Almost surely, 212100211101220 is an apocalyptic number.

12100211101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100211101220 is an abundant number, since it is smaller than the sum of its proper divisors (15629610649180).

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

12100211101220 is a wasteful number, since it uses less digits than its factorization.

12100211101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18528068 (or 18528066 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12100211101220 its reverse (2210111200121), we get a palindrome (14310322301341).

The spelling of 12100211101220 in words is "twelve trillion, one hundred billion, two hundred eleven million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2969 5938 11876 14845 29690 32659 59380 65318 130636 163295 326590 653180 18525079 37050158 74100316 92625395 185250790 203775869 370501580 407551738 815103476 1018879345 2037758690 4075517380 55000959551 110001919102 220003838204 275004797755 550009595510 605010555061 1100019191020 1210021110122 2420042220244 3025052775305 6050105550610 12100211101220