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211212220000 = 2554232971223
BaseRepresentation
bin1100010010110100111…
…0101011011001100000
3202012011202001110211211
43010231032223121200
511430030312020000
6241010214515504
721155015151025
oct3045516533140
9665152043754
10211212220000
1181635879021
1234b26665b94
1316bc01bbc92
14a31923554c
1557629837ba
hex312d3ab660

211212220000 has 480 divisors, whose sum is σ = 571353108480. Its totient is φ = 76581120000.

The previous prime is 211212219947. The next prime is 211212220003. The reversal of 211212220000 is 22212112.

It is a happy number.

It is a super-2 number, since 2×2112122200002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212220003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 947139889 + ... + 947140111.

It is an arithmetic number, because the mean of its divisors is an integer number (1190318976).

Almost surely, 2211212220000 is an apocalyptic number.

211212220000 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 211212220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285676554240).

211212220000 is an abundant number, since it is smaller than the sum of its proper divisors (360140888480).

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

211212220000 is a wasteful number, since it uses less digits than its factorization.

211212220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 353 counting only the distinct ones).

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

Adding to 211212220000 its reverse (22212112), we get a palindrome (211234432112).

The spelling of 211212220000 in words is "two hundred eleven billion, two hundred twelve million, two hundred twenty thousand".