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12212003000 = 235319642737
BaseRepresentation
bin10110101111110010…
…00110000010111000
31011112002001000210102
423113321012002320
5200002233044000
65335441334532
7611424212201
oct132771060270
934462030712
1012212003000
1151a73a266a
122449937448
1311c80622a2
1483bc465a8
154b719b3d5
hex2d7e460b8

12212003000 has 64 divisors (see below), whose sum is σ = 30080138400. Its totient is φ = 4627699200.

The previous prime is 12212002969. The next prime is 12212003029. The reversal of 12212003000 is 30021221.

It is a happy number.

12212003000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302369 + ... + 340368.

Almost surely, 212212003000 is an apocalyptic number.

12212003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212003000 is an abundant number, since it is smaller than the sum of its proper divisors (17868135400).

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

12212003000 is a wasteful number, since it uses less digits than its factorization.

12212003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642777 (or 642763 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 12212003000 its reverse (30021221), we get a palindrome (12242024221).

The spelling of 12212003000 in words is "twelve billion, two hundred twelve million, three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 19000 642737 1285474 2570948 3213685 5141896 6427370 12212003 12854740 16068425 24424006 25709480 32136850 48848012 61060015 64273700 80342125 97696024 122120030 128547400 160684250 244240060 305300075 321368500 488480120 610600150 642737000 1221200300 1526500375 2442400600 3053000750 6106001500 12212003000