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121422132 = 223313197439
BaseRepresentation
bin1110011110011…
…00000100110100
322110110212212000
413033030010310
5222041002012
620014255300
73003033246
oct717140464
9273425760
10121422132
11625a3277
12347b7530
131c204320
14121aa096
15a9d6ddc
hex73cc134

121422132 has 96 divisors (see below), whose sum is σ = 341510400. Its totient is φ = 37086336.

The previous prime is 121422127. The next prime is 121422151. The reversal of 121422132 is 231224121.

It is a happy number.

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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 276369 + ... + 276807.

It is an arithmetic number, because the mean of its divisors is an integer number (3557400).

Almost surely, 2121422132 is an apocalyptic number.

121422132 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 121422132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170755200).

121422132 is an abundant number, since it is smaller than the sum of its proper divisors (220088268).

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

121422132 is a wasteful number, since it uses less digits than its factorization.

121422132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

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

The square root of 121422132 is about 11019.1711122026. The cubic root of 121422132 is about 495.1832562980.

Adding to 121422132 its reverse (231224121), we get a palindrome (352646253).

The spelling of 121422132 in words is "one hundred twenty-one million, four hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 197 234 351 394 439 468 591 702 788 878 1182 1317 1404 1756 1773 2364 2561 2634 3546 3951 5122 5268 5319 5707 7092 7683 7902 10244 10638 11414 11853 15366 15804 17121 21276 22828 23049 23706 30732 34242 46098 47412 51363 68484 69147 86483 92196 102726 138294 154089 172966 205452 259449 276588 308178 345932 518898 616356 778347 1037796 1124279 1556694 2248558 2335041 3113388 3372837 4497116 4670082 6745674 9340164 10118511 13491348 20237022 30355533 40474044 60711066 121422132