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212220021200 = 245211194754011
BaseRepresentation
bin1100010110100101001…
…1001000100111010000
3202021202222102002012012
43011221103020213100
511434111311134300
6241254215322052
721222003262655
oct3055123104720
9667688362165
10212220021200
118200273aa80
1235168080328
1317020c2ac55
14a3b3013c2c
1557c11a6435
hex31694c89d0

212220021200 has 240 divisors, whose sum is σ = 597951728640. Its totient is φ = 71552448000.

The previous prime is 212220021197. The next prime is 212220021217. The reversal of 212220021200 is 2120022212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3902195 + ... + 3956205.

It is an arithmetic number, because the mean of its divisors is an integer number (2491465536).

Almost surely, 2212220021200 is an apocalyptic number.

212220021200 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 212220021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298975864320).

212220021200 is an abundant number, since it is smaller than the sum of its proper divisors (385731707440).

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

212220021200 is a wasteful number, since it uses less digits than its factorization.

212220021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54106 (or 54095 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212220021200 its reverse (2120022212), we get a palindrome (214340043412).

The spelling of 212220021200 in words is "two hundred twelve billion, two hundred twenty million, twenty-one thousand, two hundred".