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121432122 = 2347176299
BaseRepresentation
bin1110011110011…
…10100000111010
322110111101120000
413033032200322
5222041311442
620014413430
73003104340
oct717164072
9273441500
10121432122
11625aa829
1234801276
131c208a36
14121ad990
15a9d9d4c
hex73ce83a

121432122 has 80 divisors (see below), whose sum is σ = 329313600. Its totient is φ = 32648832.

The previous prime is 121432117. The next prime is 121432123. The reversal of 121432122 is 221234121.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 121432095 and 121432104.

It is not an unprimeable number, because it can be changed into a prime (121432123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16129 + ... + 22427.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420).

Almost surely, 2121432122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121432122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164656800).

121432122 is an abundant number, since it is smaller than the sum of its proper divisors (207881478).

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

121432122 is a wasteful number, since it uses less digits than its factorization.

121432122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337 (or 6328 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 121432122 is about 11019.6244037626. The cubic root of 121432122 is about 495.1968363184.

Adding to 121432122 its reverse (221234121), we get a palindrome (342666243).

The spelling of 121432122 in words is "one hundred twenty-one million, four hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 567 714 918 1071 1134 1377 2142 2754 3213 6299 6426 9639 12598 18897 19278 37794 44093 56691 88186 107083 113382 132279 170073 214166 264558 321249 340146 396837 510219 642498 749581 793674 963747 1020438 1190511 1499162 1927494 2248743 2381022 2891241 3571533 4497486 5782482 6746229 7143066 8673723 13492458 17347446 20238687 40477374 60716061 121432122