Search a number
-
+
12213131200000 = 295563112097
BaseRepresentation
bin1011000110111001011101…
…0110001100011000000000
31121020120020010000212022121
42301232113112030120000
53100044443041400000
641550345055214024
72400240530223313
oct261562726143000
947216203025277
1012213131200000
113989618191a05
121452ba0b17314
136a7902329493
14303193a1c97a
15162a590b0b1a
hexb1b9758c600

12213131200000 has 240 divisors, whose sum is σ = 30551921614368. Its totient is φ = 4877107200000.

The previous prime is 12213131199931. The next prime is 12213131200019. The reversal of 12213131200000 is 213131221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009593952 + ... + 1009606048.

Almost surely, 212213131200000 is an apocalyptic number.

12213131200000 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 12213131200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275960807184).

12213131200000 is an abundant number, since it is smaller than the sum of its proper divisors (18338790414368).

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

12213131200000 is an frugal number, since it uses more digits than its factorization.

12213131200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12771 (or 12735 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12213131200000 its reverse (213131221), we get a palindrome (12213344331221).

The spelling of 12213131200000 in words is "twelve trillion, two hundred thirteen billion, one hundred thirty-one million, two hundred thousand".