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212021122000 = 2453106010561
BaseRepresentation
bin1100010101110101110…
…0011001001111010000
3202021021010010221210011
43011131130121033100
511433204401401000
6241222352244304
721214036541632
oct3053534311720
9667233127704
10212021122000
1181a1043a076
1235111540694
1316cbb96aa0c
14a39483aa52
1557ad9b82ba
hex315d7193d0

212021122000 has 40 divisors (see below), whose sum is σ = 512667077832. Its totient is φ = 84808448000.

The previous prime is 212021121997. The next prime is 212021122003. The reversal of 212021122000 is 221120212.

It is a happy number.

212021122000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212021121997) and next prime (212021122003).

It can be written as a sum of positive squares in 4 ways, for example, as 33994509376 + 178026612624 = 184376^2 + 421932^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021122003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53003281 + ... + 53007280.

Almost surely, 2212021122000 is an apocalyptic number.

212021122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021122000 is an abundant number, since it is smaller than the sum of its proper divisors (300645955832).

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

212021122000 is a wasteful number, since it uses less digits than its factorization.

212021122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106010584 (or 106010568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212021122000 its reverse (221120212), we get a palindrome (212242242212).

The spelling of 212021122000 in words is "two hundred twelve billion, twenty-one million, one 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 106010561 212021122 424042244 530052805 848084488 1060105610 1696168976 2120211220 2650264025 4240422440 5300528050 8480844880 10601056100 13251320125 21202112200 26502640250 42404224400 53005280500 106010561000 212021122000