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21212200202120 = 2356130612840093
BaseRepresentation
bin1001101001010110110011…
…01010000110111110001000
32210002212101201000002122222
410310223121222012332020
510240020041222431440
6113040430015233212
74316350044520214
oct464533152067610
983085351002588
1021212200202120
1168390530165a4
122467096b18808
13bab3c035b545
14534966bd9944
1526bba0b8b2b5
hex134ad9a86f88

21212200202120 has 64 divisors (see below), whose sum is σ = 48525732480240. Its totient is φ = 8343054259200.

The previous prime is 21212200202101. The next prime is 21212200202131. The reversal of 21212200202120 is 2120200221212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2464391346244 + 18747808855876 = 1569838^2 + 4329874^2 .

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, 6048794 + ... + 8888886.

Almost surely, 221212200202120 is an apocalyptic number.

21212200202120 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 21212200202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24262866240120).

21212200202120 is an abundant number, since it is smaller than the sum of its proper divisors (27313532278120).

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

21212200202120 is a wasteful number, since it uses less digits than its factorization.

21212200202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843226 (or 2843222 counting only the distinct ones).

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

Adding to 21212200202120 its reverse (2120200221212), we get a palindrome (23332400423332).

The spelling of 21212200202120 in words is "twenty-one trillion, two hundred twelve billion, two hundred million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 3061 6122 12244 15305 24488 30610 61220 122440 186721 373442 746884 933605 1493768 1867210 2840093 3734420 5680186 7468840 11360372 14200465 22720744 28400930 56801860 113603720 173245673 346491346 692982692 866228365 1385965384 1732456730 3464913460 6929826920 8693524673 17387049346 34774098692 43467623365 69548197384 86935246730 173870493460 347740986920 530305005053 1060610010106 2121220020212 2651525025265 4242440040424 5303050050530 10606100101060 21212200202120