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12103211000 = 235363119181
BaseRepresentation
bin10110100010110100…
…00101011111111000
31011020111022211020002
423101122011133320
5144241410223000
65320553452132
7605633411306
oct132132053770
934214284202
1012103211000
115150a46621
122419411048
1311ab660a1a
1482b607276
154ac85b8d5
hex2d16857f8

12103211000 has 64 divisors (see below), whose sum is σ = 28367876160. Its totient is φ = 4833360000.

The previous prime is 12103210921. The next prime is 12103211011. The reversal of 12103211000 is 11230121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 621410 + ... + 640590.

It is an arithmetic number, because the mean of its divisors is an integer number (443248065).

Almost surely, 212103211000 is an apocalyptic number.

12103211000 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 12103211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183938080).

12103211000 is an abundant number, since it is smaller than the sum of its proper divisors (16264665160).

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

12103211000 is a wasteful number, since it uses less digits than its factorization.

12103211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19833 (or 19819 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 12103211000 its reverse (11230121), we get a palindrome (12114441121).

The spelling of 12103211000 in words is "twelve billion, one hundred three million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 631 1000 1262 2524 3155 5048 6310 12620 15775 19181 25240 31550 38362 63100 76724 78875 95905 126200 153448 157750 191810 315500 383620 479525 631000 767240 959050 1918100 2397625 3836200 4795250 9590500 12103211 19181000 24206422 48412844 60516055 96825688 121032110 242064220 302580275 484128440 605160550 1210321100 1512901375 2420642200 3025802750 6051605500 12103211000