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121422312 = 233211198069
BaseRepresentation
bin1110011110011…
…00000111101000
322110110220002200
413033030013220
5222041003222
620014300200
73003033624
oct717140750
9273426080
10121422312
11625a3420
12347b7660
131c20442b
14121aa184
15a9d6eac
hex73cc1e8

121422312 has 96 divisors (see below), whose sum is σ = 377676000. Its totient is φ = 34853760.

The previous prime is 121422281. The next prime is 121422341. The reversal of 121422312 is 213224121.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11014 + ... + 19082.

It is an arithmetic number, because the mean of its divisors is an integer number (3934125).

Almost surely, 2121422312 is an apocalyptic number.

121422312 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 121422312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188838000).

121422312 is an abundant number, since it is smaller than the sum of its proper divisors (256253688).

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

121422312 is a wasteful number, since it uses less digits than its factorization.

121422312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8111 (or 8104 counting only the distinct ones).

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

The square root of 121422312 is about 11019.1792797830. The cubic root of 121422312 is about 495.1835009897.

Adding to 121422312 its reverse (213224121), we get a palindrome (334646433).

The spelling of 121422312 in words is "one hundred twenty-one million, four hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 7524 8069 15048 16138 24207 32276 48414 64552 72621 88759 96828 145242 153311 177518 193656 266277 290484 306622 355036 459933 532554 580968 613244 710072 798831 919866 1065108 1226488 1379799 1597662 1686421 1839732 2130216 2759598 3195324 3372842 3679464 5059263 5519196 6390648 6745684 10118526 11038392 13491368 15177789 20237052 30355578 40474104 60711156 121422312