Search a number
-
+
12112101400 = 235278651501
BaseRepresentation
bin10110100011111000…
…00000000000011000
31011021010001111120011
423101330000000120
5144301144221100
65321512211304
7606102106660
oct132174000030
934233044504
1012112101400
115155a69063
122420399b34
1311b0454509
1482c87d1a0
154ad515bba
hex2d1f00018

12112101400 has 48 divisors (see below), whose sum is σ = 32183587440. Its totient is φ = 4152720000.

The previous prime is 12112101389. The next prime is 12112101427. The reversal of 12112101400 is 410121121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4324351 + ... + 4327150.

It is an arithmetic number, because the mean of its divisors is an integer number (670491405).

Almost surely, 212112101400 is an apocalyptic number.

12112101400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112101400 is an abundant number, since it is smaller than the sum of its proper divisors (20071486040).

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

12112101400 is a wasteful number, since it uses less digits than its factorization.

12112101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8651524 (or 8651515 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12112101400 its reverse (410121121), we get a palindrome (12522222521).

The spelling of 12112101400 in words is "twelve billion, one hundred twelve million, one hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 8651501 17303002 34606004 43257505 60560507 69212008 86515010 121121014 173030020 216287525 242242028 302802535 346060040 432575050 484484056 605605070 865150100 1211210140 1514012675 1730300200 2422420280 3028025350 6056050700 12112101400