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12100211221110 = 2351912663792989
BaseRepresentation
bin1011000000010100110011…
…0010101010001001110110
31120211202202112011120221020
42300011030302222021312
53041222213033033420
641422432120202010
72356132341232005
oct260051462521166
946752675146836
1012100211221110
113945741867501
121435128309306
1369a077bb4c1c
142db920b02c3c
1515eb4a97e340
hexb014ccaa276

12100211221110 has 64 divisors (see below), whose sum is σ = 29203550576640. Its totient is φ = 3208619765120.

The previous prime is 12100211221013. The next prime is 12100211221117. The reversal of 12100211221110 is 1112211200121.

It is a happy number.

It is a super-2 number, since 2×121002112211102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12100211221110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100211221117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14862496 + ... + 15655484.

It is an arithmetic number, because the mean of its divisors is an integer number (456305477760).

Almost surely, 212100211221110 is an apocalyptic number.

12100211221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12100211221110 is an abundant number, since it is smaller than the sum of its proper divisors (17103339355530).

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

12100211221110 is a wasteful number, since it uses less digits than its factorization.

12100211221110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795853.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 12100211221110 its reverse (1112211200121), we get a palindrome (13212422421231).

The spelling of 12100211221110 in words is "twelve trillion, one hundred billion, two hundred eleven million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 191 382 573 955 1146 1910 2663 2865 5326 5730 7989 13315 15978 26630 39945 79890 508633 792989 1017266 1525899 1585978 2378967 2543165 3051798 3964945 4757934 5086330 7629495 7929890 11894835 15258990 23789670 151460899 302921798 454382697 757304495 908765394 1514608990 2111729707 2271913485 4223459414 4543826970 6335189121 10558648535 12670378242 21117297070 31675945605 63351891210 403340374037 806680748074 1210021122111 2016701870185 2420042244222 4033403740370 6050105610555 12100211221110