Search a number
-
+
12221220000 = 253541118517
BaseRepresentation
bin10110110000111000…
…10000010010100000
31011112201101022010210
423120130100102200
5200012113020000
65340411054120
7611565441003
oct133034202240
934481338123
1012221220000
115201618520
122450a41340
1311c9c3b632
1483d16553a
154b7dbc350
hex2d87104a0

12221220000 has 240 divisors, whose sum is σ = 43734775392. Its totient is φ = 2962560000.

The previous prime is 12221219953. The next prime is 12221220001. The reversal of 12221220000 is 2212221.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (12221220001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 650742 + ... + 669258.

Almost surely, 212221220000 is an apocalyptic number.

12221220000 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 12221220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21867387696).

12221220000 is an abundant number, since it is smaller than the sum of its proper divisors (31513555392).

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

12221220000 is a wasteful number, since it uses less digits than its factorization.

12221220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18561 (or 18538 counting only the distinct ones).

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

Adding to 12221220000 its reverse (2212221), we get a palindrome (12223432221).

It can be divided in two parts, 12221 and 220000, that added together give a triangular number (232221 = T681).

The spelling of 12221220000 in words is "twelve billion, two hundred twenty-one million, two hundred twenty thousand".