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21201212222000 = 245379331336267
BaseRepresentation
bin1001101001000010010101…
…01110010010101000110000
32210001211000221011212121022
410310201022232102220300
510234330040312101000
6113031411420515012
74315510542315566
oct464411256225060
983054027155538
1021201212222000
116834424648498
122464b2b0aba68
13baa35ba81c65
14534203777a36
1526b75b1c3585
hex13484ab92a30

21201212222000 has 80 divisors (see below), whose sum is σ = 51271031708832. Its totient is φ = 8479409529600.

The previous prime is 21201212221999. The next prime is 21201212222009. The reversal of 21201212222000 is 22221210212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 21201212222000.

It is not an unprimeable number, because it can be changed into a prime (21201212222009) 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, 15197867 + ... + 16534133.

Almost surely, 221201212222000 is an apocalyptic number.

21201212222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201212222000 is an abundant number, since it is smaller than the sum of its proper divisors (30069819486832).

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

21201212222000 is a wasteful number, since it uses less digits than its factorization.

21201212222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344223 (or 1344207 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21201212222000 its reverse (22221210212), we get a palindrome (21223433432212).

The spelling of 21201212222000 in words is "twenty-one trillion, two hundred one billion, two hundred twelve million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 7933 15866 31732 39665 63464 79330 126928 158660 198325 317320 396650 634640 793300 991625 1336267 1586600 1983250 2672534 3173200 3966500 5345068 6681335 7933000 10690136 13362670 15866000 21380272 26725340 33406675 53450680 66813350 106901360 133626700 167033375 267253400 334066750 534506800 668133500 1336267000 2672534000 10600606111 21201212222 42402424444 53003030555 84804848888 106006061110 169609697776 212012122220 265015152775 424024244440 530030305550 848048488880 1060060611100 1325075763875 2120121222200 2650151527750 4240242444400 5300303055500 10600606111000 21201212222000