Search a number
-
+
1112123201112 = 23327111511328473
BaseRepresentation
bin10000001011101111101…
…101010101011001011000
310221022120210000012020100
4100023233231111121120
5121210112014413422
62210522523455400
7143230310144130
oct20135755253130
93838523005210
101112123201112
11399715610470
1215b653987560
1380b46617a61
143bb815d5ac0
151dddee5a7ac
hex102efb55658

1112123201112 has 192 divisors, whose sum is σ = 3780093058560. Its totient is φ = 286949952000.

The previous prime is 1112123201099. The next prime is 1112123201131. The reversal of 1112123201112 is 2111023212111.

It is a happy number.

1112123201112 is a `hidden beast` number, since 111 + 212 + 320 + 11 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172908 + ... + 1501380.

It is an arithmetic number, because the mean of its divisors is an integer number (19687984680).

Almost surely, 21112123201112 is an apocalyptic number.

1112123201112 is a gapful number since it is divisible by the number (12) 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 1112123201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890046529280).

1112123201112 is an abundant number, since it is smaller than the sum of its proper divisors (2667969857448).

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

1112123201112 is a wasteful number, since it uses less digits than its factorization.

1112123201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328654 (or 1328647 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1112123201112 its reverse (2111023212111), we get a palindrome (3223146413223).

The spelling of 1112123201112 in words is "one trillion, one hundred twelve billion, one hundred twenty-three million, two hundred one thousand, one hundred twelve".