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12213699840 = 283251795923
BaseRepresentation
bin10110101111111111…
…00100010100000000
31011112012020020102100
423113333210110000
5200003201343330
65335541550400
7611444510226
oct132777442400
934465206370
1012213699840
1151a8351511
12244a415400
1311c8507734
1483c168b16
154b73d4060
hex2d7fe4500

12213699840 has 216 divisors, whose sum is σ = 42501382560. Its totient is φ = 3238244352.

The previous prime is 12213699781. The next prime is 12213699853. The reversal of 12213699840 is 4899631221.

12213699840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2059119 + ... + 2065041.

It is an arithmetic number, because the mean of its divisors is an integer number (196765660).

Almost surely, 212213699840 is an apocalyptic number.

12213699840 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 12213699840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21250691280).

12213699840 is an abundant number, since it is smaller than the sum of its proper divisors (30287682720).

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

12213699840 is a wasteful number, since it uses less digits than its factorization.

12213699840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6129 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12213699840 in words is "twelve billion, two hundred thirteen million, six hundred ninety-nine thousand, eight hundred forty".