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121412214 = 232711251349
BaseRepresentation
bin1110011110010…
…01101001110110
322110110101020200
413033021221312
5222040142324
620014141330
73002662320
oct717115166
9273411220
10121412214
1162596880
12347b1846
131c1cc961
14121a6610
15a9d3ec9
hex73c9a76

121412214 has 96 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 31320000.

The previous prime is 121412209. The next prime is 121412219. The reversal of 121412214 is 412214121.

It is an interprime number because it is at equal distance from previous prime (121412209) and next prime (121412219).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121412219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347712 + ... + 348060.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2121412214 is an apocalyptic number.

121412214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121412214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

121412214 is an abundant number, since it is smaller than the sum of its proper divisors (208808586).

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

121412214 is a wasteful number, since it uses less digits than its factorization.

121412214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 623 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 121412214 is about 11018.7210691622. The cubic root of 121412214 is about 495.1697734149.

Adding to 121412214 its reverse (412214121), we get a palindrome (533626335).

It can be divided in two parts, 121 and 412214, that multiplied together give a palindrome (49877894).

The spelling of 121412214 in words is "one hundred twenty-one million, four hundred twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 251 349 462 502 693 698 753 1047 1386 1506 1757 2094 2259 2443 2761 3141 3514 3839 4518 4886 5271 5522 6282 7329 7678 8283 10542 11517 14658 15813 16566 19327 21987 23034 24849 26873 31626 34551 38654 43974 49698 53746 57981 69102 80619 87599 115962 161238 173943 175198 241857 262797 347886 483714 525594 613193 788391 963589 1226386 1576782 1839579 1927178 2890767 3679158 5518737 5781534 6745123 8672301 11037474 13490246 17344602 20235369 40470738 60706107 121412214