Search a number
-
+
12213020423400 = 23352193121343261
BaseRepresentation
bin1011000110111001000010…
…1111100111010011101000
31121020112221101120211101120
42301232100233213103220
53100044231212022100
641550330101015240
72400235013515416
oct261562057472350
947215841524346
1012213020423400
1139895706aa8a5
121452b6b9b4520
136a78b53b17b4
143031830242b6
15162a4e4cd0a0
hexb1b90be74e8

12213020423400 has 192 divisors, whose sum is σ = 39865899460800. Its totient is φ = 3084397056000.

The previous prime is 12213020423399. The next prime is 12213020423413. The reversal of 12213020423400 is 432402031221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35407770 + ... + 35751030.

It is an arithmetic number, because the mean of its divisors is an integer number (207634893025).

Almost surely, 212213020423400 is an apocalyptic number.

12213020423400 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 12213020423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19932949730400).

12213020423400 is an abundant number, since it is smaller than the sum of its proper divisors (27652879037400).

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

12213020423400 is a wasteful number, since it uses less digits than its factorization.

12213020423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346420 (or 346411 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12213020423400 its reverse (432402031221), we get a palindrome (12645422454621).

The spelling of 12213020423400 in words is "twelve trillion, two hundred thirteen billion, twenty million, four hundred twenty-three thousand, four hundred".