Search a number
-
+
12021222000 = 2435383101239
BaseRepresentation
bin10110011001000010…
…10100101001110000
31011000210001100110110
423030201110221300
5144104413101000
65304504301320
7603616462314
oct131441245160
934023040413
1012021222000
115109737017
1223b5a71840
131197685218
14820783b44
154a5563850
hex2cc854a70

12021222000 has 320 divisors, whose sum is σ = 39777454080. Its totient is φ = 3122560000.

The previous prime is 12021221999. The next prime is 12021222023. The reversal of 12021222000 is 22212021.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50297881 + ... + 50298119.

It is an arithmetic number, because the mean of its divisors is an integer number (124304544).

Almost surely, 212021222000 is an apocalyptic number.

12021222000 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 12021222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19888727040).

12021222000 is an abundant number, since it is smaller than the sum of its proper divisors (27756232080).

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

12021222000 is a wasteful number, since it uses less digits than its factorization.

12021222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12021222000 its reverse (22212021), we get a palindrome (12043434021).

The spelling of 12021222000 in words is "twelve billion, twenty-one million, two hundred twenty-two thousand".