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12114031020 = 223571317196869
BaseRepresentation
bin10110100100000110…
…10111000110101100
31011021020200112111120
423102003113012230
5144302142443040
65322021420540
7606124364460
oct132203270654
934236615446
1012114031020
115157066893
122420b6a750
1311b097b8c0
1482cc224a0
154ad7977d0
hex2d20d71ac

12114031020 has 384 divisors, whose sum is σ = 46535731200. Its totient is φ = 2278637568.

The previous prime is 12114030967. The next prime is 12114031043. The reversal of 12114031020 is 2013041121.

It is a super-3 number, since 3×121140310203 (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1760146 + ... + 1767014.

It is an arithmetic number, because the mean of its divisors is an integer number (121186800).

Almost surely, 212114031020 is an apocalyptic number.

12114031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12114031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23267865600).

12114031020 is an abundant number, since it is smaller than the sum of its proper divisors (34421700180).

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

12114031020 is a wasteful number, since it uses less digits than its factorization.

12114031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6937 (or 6935 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12114031020 its reverse (2013041121), we get a palindrome (14127072141).

The spelling of 12114031020 in words is "twelve billion, one hundred fourteen million, thirty-one thousand, twenty".