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122113212 = 22313782777
BaseRepresentation
bin1110100011101…
…00110010111100
322111202222211120
413101310302330
5222230110322
620041150540
73011642124
oct721646274
9274688746
10122113212
1162a25511
1234a8b450
131c3b6a50
1412309c84
15aac1a5c
hex7474cbc

122113212 has 24 divisors (see below), whose sum is σ = 306848976. Its totient is φ = 37573248.

The previous prime is 122113207. The next prime is 122113213. The reversal of 122113212 is 212311221.

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

It is a junction number, because it is equal to n+sod(n) for n = 122113191 and 122113200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391233 + ... + 391544.

It is an arithmetic number, because the mean of its divisors is an integer number (12785374).

Almost surely, 2122113212 is an apocalyptic number.

122113212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122113212 is an abundant number, since it is smaller than the sum of its proper divisors (184735764).

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

122113212 is a wasteful number, since it uses less digits than its factorization.

122113212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782797 (or 782795 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 122113212 is about 11050.4846952521. The cubic root of 122113212 is about 496.1209328345.

Adding to 122113212 its reverse (212311221), we get a palindrome (334424433).

It can be divided in two parts, 1221132 and 12, that multiplied together give a square (14653584 = 38282).

The spelling of 122113212 in words is "one hundred twenty-two million, one hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 782777 1565554 2348331 3131108 4696662 9393324 10176101 20352202 30528303 40704404 61056606 122113212