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22121211212000 = 255328011974403
BaseRepresentation
bin1010000011110011111101…
…11011111011000011100000
32220022202201020120220121222
411001321332323323003200
510344413220032241000
6115014202200034212
74442130143565455
oct501717673730340
986282636526558
1022121211212000
11705960a03749a
1225932a4a62968
13c46037951054
1456695ac6182c
1528565431ba85
hex141e7eefb0e0

22121211212000 has 96 divisors (see below), whose sum is σ = 54371247918624. Its totient is φ = 8845320960000.

The previous prime is 22121211211973. The next prime is 22121211212003. The reversal of 22121211212000 is 21211212122.

It is a self number, because there is not a number n which added to its sum of digits gives 22121211212000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121211212003) 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, 10216799 + ... + 12191201.

It is an arithmetic number, because the mean of its divisors is an integer number (566367165819).

Almost surely, 222121211212000 is an apocalyptic number.

22121211212000 is a gapful number since it is divisible by the number (20) 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 22121211212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27185623959312).

22121211212000 is an abundant number, since it is smaller than the sum of its proper divisors (32250036706624).

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

22121211212000 is a wasteful number, since it uses less digits than its factorization.

22121211212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977229 (or 1977211 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22121211212000 its reverse (21211212122), we get a palindrome (22142422424122).

The spelling of 22121211212000 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred eleven million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 2801 4000 5602 11204 14005 22408 28010 44816 56020 70025 89632 112040 140050 224080 280100 350125 448160 560200 700250 1120400 1400500 1974403 2240800 2801000 3948806 5602000 7897612 9872015 11204000 15795224 19744030 31590448 39488060 49360075 63180896 78976120 98720150 157952240 197440300 246800375 315904480 394880600 493600750 789761200 987201500 1579522400 1974403000 3948806000 5530302803 7897612000 11060605606 22121211212 27651514015 44242422424 55303028030 88484844848 110606056060 138257570075 176969689696 221212112120 276515140150 442424224240 553030280300 691287850375 884848448480 1106060560600 1382575700750 2212121121200 2765151401500 4424242242400 5530302803000 11060605606000 22121211212000