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12214212000 = 253531017851
BaseRepresentation
bin10110110000000011…
…00001010110100000
31011112020012020222020
423120001201112200
5200003314241000
65340000541440
7611452042344
oct133001412640
934466166866
1012214212000
1151a8671291
12244a621880
1311c86568a3
1483c25d624
154b7485ba0
hex2d80615a0

12214212000 has 96 divisors (see below), whose sum is σ = 40013797824. Its totient is φ = 3257120000.

The previous prime is 12214211981. The next prime is 12214212001. The reversal of 12214212000 is 21241221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (12214212001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 496926 + ... + 520925.

It is an arithmetic number, because the mean of its divisors is an integer number (416810394).

Almost surely, 212214212000 is an apocalyptic number.

12214212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12214212000 is an abundant number, since it is smaller than the sum of its proper divisors (27799585824).

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

12214212000 is a wasteful number, since it uses less digits than its factorization.

12214212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017879 (or 1017861 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12214212000 its reverse (21241221), we get a palindrome (12235453221).

The spelling of 12214212000 in words is "twelve billion, two hundred fourteen million, two hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 1017851 2035702 3053553 4071404 5089255 6107106 8142808 10178510 12214212 15267765 16285616 20357020 24428424 25446275 30535530 32571232 40714040 48856848 50892550 61071060 76338825 81428080 97713696 101785100 122142120 127231375 152677650 162856160 203570200 244284240 254462750 305355300 381694125 407140400 488568480 508925500 610710600 763388250 814280800 1017851000 1221421200 1526776500 2035702000 2442842400 3053553000 4071404000 6107106000 12214212000