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12221202240 = 263451336269
BaseRepresentation
bin10110110000111000…
…01011111101000000
31011112201100101210000
423120130023331000
5200012111432430
65340410440000
7611565335142
oct133034137500
934481311700
1012221202240
115201606145
122450a33000
1311c9c33520
1483d15cc92
154b7db6e60
hex2d870bf40

12221202240 has 280 divisors, whose sum is σ = 46818331560. Its totient is φ = 3008212992.

The previous prime is 12221202221. The next prime is 12221202269. The reversal of 12221202240 is 4220212221.

12221202240 is a `hidden beast` number, since 1 + 2 + 221 + 202 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2320156224 + 9901046016 = 48168^2 + 99504^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 318826 + ... + 355094.

It is an arithmetic number, because the mean of its divisors is an integer number (167208327).

Almost surely, 212221202240 is an apocalyptic number.

12221202240 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 12221202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23409165780).

12221202240 is an abundant number, since it is smaller than the sum of its proper divisors (34597129320).

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

12221202240 is a wasteful number, since it uses less digits than its factorization.

12221202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36311 (or 36292 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12221202240 its reverse (4220212221), we get a palindrome (16441414461).

The spelling of 12221202240 in words is "twelve billion, two hundred twenty-one million, two hundred two thousand, two hundred forty".