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12202113000 = 23353711101523
BaseRepresentation
bin10110101110100110…
…10111011111101000
31011111101102120021010
423113103113133220
5144442220104000
65334445343520
7611244151320
oct132723273750
934441376233
1012202113000
1151a1858110
122446567ba0
1311c5cab80c
1483a7d0280
154b6395d50
hex2d74d77e8

12202113000 has 512 divisors, whose sum is σ = 48026234880. Its totient is φ = 2505600000.

The previous prime is 12202112983. The next prime is 12202113017. The reversal of 12202113000 is 31120221.

It is an interprime number because it is at equal distance from previous prime (12202112983) and next prime (12202113017).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23330739 + ... + 23331261.

It is an arithmetic number, because the mean of its divisors is an integer number (93801240).

Almost surely, 212202113000 is an apocalyptic number.

12202113000 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 12202113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24013117440).

12202113000 is an abundant number, since it is smaller than the sum of its proper divisors (35824121880).

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

12202113000 is a wasteful number, since it uses less digits than its factorization.

12202113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 652 counting only the distinct ones).

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

Adding to 12202113000 its reverse (31120221), we get a palindrome (12233233221).

The spelling of 12202113000 in words is "twelve billion, two hundred two million, one hundred thirteen thousand".