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12111022011120 = 2435109462959557
BaseRepresentation
bin1011000000111101000100…
…1010100011001011110000
31120212210122221120121212020
42300033101022203023300
53041411333113323440
641431420545031440
72356664262360144
oct260172112431360
946783587517766
1012111022011120
11394a28a211aaa
121437244925580
1369b0ab8625a6
142dc2687dd224
1516007eae63d0
hexb03d12a32f0

12111022011120 has 80 divisors (see below), whose sum is σ = 37888610226720. Its totient is φ = 3199976451072.

The previous prime is 12111022011097. The next prime is 12111022011191. The reversal of 12111022011120 is 2111022011121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 12111022011120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 231453619 + ... + 231505938.

It is an arithmetic number, because the mean of its divisors is an integer number (473607627834).

Almost surely, 212111022011120 is an apocalyptic number.

12111022011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111022011120 is an abundant number, since it is smaller than the sum of its proper divisors (25777588215600).

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

12111022011120 is a wasteful number, since it uses less digits than its factorization.

12111022011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462959682 (or 462959676 counting only the distinct ones).

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

Adding to 12111022011120 its reverse (2111022011121), we get a palindrome (14222044022241).

Subtracting from 12111022011120 its reverse (2111022011121), we obtain a palindrome (9999999999999).

The spelling of 12111022011120 in words is "twelve trillion, one hundred eleven billion, twenty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 545 654 872 1090 1308 1635 1744 2180 2616 3270 4360 5232 6540 8720 13080 26160 462959557 925919114 1388878671 1851838228 2314797785 2777757342 3703676456 4629595570 5555514684 6944393355 7407352912 9259191140 11111029368 13888786710 18518382280 22222058736 27777573420 37036764560 50462591713 55555146840 100925183426 111110293680 151387775139 201850366852 252312958565 302775550278 403700733704 504625917130 605551100556 756938875695 807401467408 1009251834260 1211102201112 1513877751390 2018503668520 2422204402224 3027755502780 4037007337040 6055511005560 12111022011120