Search a number
-
+
12010112100 = 2232527472863
BaseRepresentation
bin10110010111101101…
…11100010001100100
31011000000010220112200
423023312330101210
5144044042041400
65303430214500
7603423161040
oct131366742144
934000126480
1012010112100
115103438a88
1223b21b4430
13119529540c
1481d0d1020
154a45bbb00
hex2cbdbc464

12010112100 has 324 divisors, whose sum is σ = 44008683264. Its totient is φ = 2683647360.

The previous prime is 12010112099. The next prime is 12010112123. The reversal of 12010112100 is 121101021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13916269 + ... + 13917131.

Almost surely, 212010112100 is an apocalyptic number.

12010112100 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 12010112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22004341632).

12010112100 is an abundant number, since it is smaller than the sum of its proper divisors (31998571164).

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

12010112100 is a wasteful number, since it uses less digits than its factorization.

12010112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12010112100 its reverse (121101021), we get a palindrome (12131213121).

The spelling of 12010112100 in words is "twelve billion, ten million, one hundred twelve thousand, one hundred".