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111212420012384 = 25178310691230387
BaseRepresentation
bin11001010010010110101000…
…110010100001100101100000
3112120202210200202200220010012
4121102112220302201211200
5104034101014010344014
61032310140324224052
732265555304551335
oct3122265062414540
9476683622626105
10111212420012384
1132487a16882429
121058186653b028
134a09394a4b202
141d669d1b7a98c
15cccd54986c3e
hex6525a8ca1960

111212420012384 has 96 divisors (see below), whose sum is σ = 234644914094976. Its totient is φ = 51699650529280.

The previous prime is 111212420012357. The next prime is 111212420012387. The reversal of 111212420012384 is 483210024212111.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 111212420012384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111212420012387) 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, 482604839 + ... + 482835225.

It is an arithmetic number, because the mean of its divisors is an integer number (2444217855156).

Almost surely, 2111212420012384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111212420012384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117322457047488).

111212420012384 is an abundant number, since it is smaller than the sum of its proper divisors (123432494082592).

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

111212420012384 is a wasteful number, since it uses less digits than its factorization.

111212420012384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241188 (or 241180 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

Adding to 111212420012384 its reverse (483210024212111), we get a palindrome (594422444224495).

The spelling of 111212420012384 in words is "one hundred eleven trillion, two hundred twelve billion, four hundred twenty million, twelve thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 68 83 136 166 272 332 544 664 1328 1411 2656 2822 5644 10691 11288 21382 22576 42764 45152 85528 171056 181747 230387 342112 363494 460774 726988 887353 921548 1453976 1774706 1843096 2907952 3549412 3686192 3916579 5815904 7098824 7372384 7833158 14197648 15085001 15666316 19122121 28395296 30170002 31332632 38244242 60340004 62665264 76488484 120680008 125330528 152976968 241360016 305953936 325076057 482720032 611907872 650152114 1300304228 2463067417 2600608456 4926134834 5201216912 9852269668 10402433824 19704539336 39409078672 41872146089 78818157344 83744292178 167488584356 204434595611 334977168712 408869191222 669954337424 817738382444 1339908674848 1635476764888 3270953529776 3475388125387 6541907059552 6950776250774 13901552501548 27803105003096 55606210006192 111212420012384