Search a number
-
+
11212200120 = 23351143251787
BaseRepresentation
bin10100111000100110…
…01001100010111000
31001221101201210002010
422130103021202320
5140430310400440
65052324205520
7544564062042
oct123423114270
931841653063
1011212200120
114833aa39a0
12220ab398a0
131098b93a54
1478514aa92
15459508580
hex29c4c98b8

11212200120 has 256 divisors, whose sum is σ = 37745326080. Its totient is φ = 2640960000.

The previous prime is 11212200101. The next prime is 11212200127. The reversal of 11212200120 is 2100221211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11212200096 and 11212200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212200127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14246367 + ... + 14247153.

It is an arithmetic number, because the mean of its divisors is an integer number (147442680).

Almost surely, 211212200120 is an apocalyptic number.

11212200120 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 11212200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18872663040).

11212200120 is an abundant number, since it is smaller than the sum of its proper divisors (26533125960).

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

11212200120 is a wasteful number, since it uses less digits than its factorization.

11212200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11212200120 its reverse (2100221211), we get a palindrome (13312421331).

The spelling of 11212200120 in words is "eleven billion, two hundred twelve million, two hundred thousand, one hundred twenty".