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121212072 = 23334113687
BaseRepresentation
bin1110011100110…
…00110010101000
322110002012201000
413032120302220
5222012241242
620005555000
73001166652
oct716306250
9273065630
10121212072
116246a473
1234715a60
131c15c827
14121536d2
15a994a4c
hex7398ca8

121212072 has 64 divisors (see below), whose sum is σ = 344937600. Its totient is φ = 39415680.

The previous prime is 121212071. The next prime is 121212089. The reversal of 121212072 is 270212121.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (121212071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2013 + ... + 15699.

It is an arithmetic number, because the mean of its divisors is an integer number (5389650).

Almost surely, 2121212072 is an apocalyptic number.

121212072 is a gapful number since it is divisible by the number (12) 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 121212072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172468800).

121212072 is an abundant number, since it is smaller than the sum of its proper divisors (223725528).

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

121212072 is a wasteful number, since it uses less digits than its factorization.

121212072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13743 (or 13733 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 121212072 is about 11009.6354163069. The cubic root of 121212072 is about 494.8975361838.

Adding to 121212072 its reverse (270212121), we get a palindrome (391424193).

The spelling of 121212072 in words is "one hundred twenty-one million, two hundred twelve thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 13687 27374 41061 54748 82122 109496 123183 164244 246366 328488 369549 492732 561167 739098 985464 1122334 1478196 1683501 2244668 2956392 3367002 4489336 5050503 6734004 10101006 13468008 15151509 20202012 30303018 40404024 60606036 121212072