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12111411120 = 2435131385223
BaseRepresentation
bin10110100011110010…
…10111011110110000
31011021001202102200020
423101321113132300
5144301010123440
65321445323440
7606063203334
oct132171273660
934231672606
1012111411120
115155637486
122420106580
1311b0272273
1482c73d7c4
154ad42b3d0
hex2d1e577b0

12111411120 has 80 divisors (see below), whose sum is σ = 37832078592. Its totient is φ = 3205047040.

The previous prime is 12111411101. The next prime is 12111411127. The reversal of 12111411120 is 2111411121.

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 12111411120.

It is not an unprimeable number, because it can be changed into a prime (12111411127) 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 15 ways as a sum of consecutive naturals, for example, 161172 + ... + 224051.

Almost surely, 212111411120 is an apocalyptic number.

12111411120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12111411120 is an abundant number, since it is smaller than the sum of its proper divisors (25720667472).

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

12111411120 is a wasteful number, since it uses less digits than its factorization.

12111411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385370 (or 385364 counting only the distinct ones).

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

Adding to 12111411120 its reverse (2111411121), we get a palindrome (14222822241).

Subtracting from 12111411120 its reverse (2111411121), we obtain a palindrome (9999999999).

The spelling of 12111411120 in words is "twelve billion, one hundred eleven million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 6288 7860 10480 15720 31440 385223 770446 1155669 1540892 1926115 2311338 3081784 3852230 4622676 5778345 6163568 7704460 9245352 11556690 15408920 18490704 23113380 30817840 46226760 50464213 92453520 100928426 151392639 201856852 252321065 302785278 403713704 504642130 605570556 756963195 807427408 1009284260 1211141112 1513926390 2018568520 2422282224 3027852780 4037137040 6055705560 12111411120