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121422224 = 24711671471
BaseRepresentation
bin1110011110011…
…00000110010000
322110110212222102
413033030012100
5222041002344
620014255532
73003033440
oct717140620
9273425872
10121422224
11625a3350
12347b75a8
131c204391
14121aa120
15a9d6e4e
hex73cc190

121422224 has 80 divisors (see below), whose sum is σ = 297885696. Its totient is φ = 46569600.

The previous prime is 121422187. The next prime is 121422233. The reversal of 121422224 is 422224121.

It is a super-2 number, since 2×1214222242 = 29486712962212352, which contains 22 as substring.

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 = 121422196 and 121422205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81809 + ... + 83279.

Almost surely, 2121422224 is an apocalyptic number.

121422224 is a gapful number since it is divisible by the number (14) 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 121422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148942848).

121422224 is an abundant number, since it is smaller than the sum of its proper divisors (176463472).

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

121422224 is a wasteful number, since it uses less digits than its factorization.

121422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1558 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 121422224 is about 11019.1752867445. The cubic root of 121422224 is about 495.1833813627.

Adding to 121422224 its product of digits (512), we get a triangular number (121422736 = T15583).

Adding to 121422224 its reverse (422224121), we get a palindrome (543646345).

The spelling of 121422224 in words is "one hundred twenty-one million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 67 77 88 112 134 154 176 268 308 469 536 616 737 938 1072 1232 1471 1474 1876 2942 2948 3752 5159 5884 5896 7504 10297 10318 11768 11792 16181 20594 20636 23536 32362 41188 41272 64724 82376 82544 98557 113267 129448 164752 197114 226534 258896 394228 453068 689899 788456 906136 1084127 1379798 1576912 1812272 2168254 2759596 4336508 5519192 7588889 8673016 11038384 15177778 17346032 30355556 60711112 121422224