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212112112212 = 2234711132832311
BaseRepresentation
bin1100010110001011011…
…1011111101001010100
3202021111110100201220000
43011202313133221110
511433401200042322
6241235402411300
721216223130340
oct3054267375124
9667443321800
10212112112212
1181a578373a0
1235137b00b30
1317004778590
14a3a2964620
1557b698d3ac
hex3162ddfa54

212112112212 has 480 divisors, whose sum is σ = 747461535744. Its totient is φ = 50654419200.

The previous prime is 212112112187. The next prime is 212112112213. The reversal of 212112112212 is 212211211212.

212112112212 is a `hidden beast` number, since 21 + 211 + 211 + 221 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112112213) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 91782537 + ... + 91784847.

Almost surely, 2212112112212 is an apocalyptic number.

212112112212 is a gapful number since it is divisible by the number (22) 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 212112112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373730767872).

212112112212 is an abundant number, since it is smaller than the sum of its proper divisors (535349423532).

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

212112112212 is a wasteful number, since it uses less digits than its factorization.

212112112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2630 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 212112112212 its reverse (212211211212), we get a palindrome (424323323424).

The spelling of 212112112212 in words is "two hundred twelve billion, one hundred twelve million, one hundred twelve thousand, two hundred twelve".