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12201321000 = 23353113111927
BaseRepresentation
bin10110101110100000…
…10110001000101000
31011111022221022211210
423113100112020220
5144442014233000
65334420353120
7611234342301
oct132720261050
934438838753
1012201321000
1151a1367070
1224462457a0
1311c5a9218b
1483a6657a8
154b628b350
hex2d7416228

12201321000 has 256 divisors, whose sum is σ = 42872094720. Its totient is φ = 2862240000.

The previous prime is 12201320983. The next prime is 12201321001. The reversal of 12201321000 is 12310221.

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 (12201321001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1017037 + ... + 1028963.

It is an arithmetic number, because the mean of its divisors is an integer number (167469120).

Almost surely, 212201321000 is an apocalyptic number.

12201321000 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 12201321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21436047360).

12201321000 is an abundant number, since it is smaller than the sum of its proper divisors (30670773720).

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

12201321000 is a wasteful number, since it uses less digits than its factorization.

12201321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11993 (or 11979 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12201321000 its reverse (12310221), we get a palindrome (12213631221).

The spelling of 12201321000 in words is "twelve billion, two hundred one million, three hundred twenty-one thousand".