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12002221000 = 23537111753173
BaseRepresentation
bin10110010110110001…
…10101101111001000
31010222110021222222201
423023120311233020
5144040032033000
65302545125544
7603266123650
oct131330655710
933873258881
1012002221000
1150a9a39310
1223ab6298b4
131193761723
1481c039360
154a3a5d96a
hex2cb635bc8

12002221000 has 512 divisors, whose sum is σ = 37992913920. Its totient is φ = 3434496000.

The previous prime is 12002220959. The next prime is 12002221003. The reversal of 12002221000 is 12220021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12002221003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69376914 + ... + 69377086.

It is an arithmetic number, because the mean of its divisors is an integer number (74204910).

Almost surely, 212002221000 is an apocalyptic number.

12002221000 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 12002221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18996456960).

12002221000 is an abundant number, since it is smaller than the sum of its proper divisors (25990692920).

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

12002221000 is a wasteful number, since it uses less digits than its factorization.

12002221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12002221000 its reverse (12220021), we get a palindrome (12014441021).

The spelling of 12002221000 in words is "twelve billion, two million, two hundred twenty-one thousand".