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121412130 = 23571771479
BaseRepresentation
bin1110011110010…
…01101000100010
322110110101010120
413033021220202
5222040142010
620014141110
73002662140
oct717115042
9273411116
10121412130
1162596804
12347b1796
131c1cc8c8
14121a6590
15a9d3e70
hex73c9a22

121412130 has 128 divisors (see below), whose sum is σ = 358318080. Its totient is φ = 25697280.

The previous prime is 121412119. The next prime is 121412141. The reversal of 121412130 is 31214121.

It is an interprime number because it is at equal distance from previous prime (121412119) and next prime (121412141).

It is a super-2 number, since 2×1214121302 = 29481810622273800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 253231 + ... + 253709.

It is an arithmetic number, because the mean of its divisors is an integer number (2799360).

Almost surely, 2121412130 is an apocalyptic number.

121412130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121412130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179159040).

121412130 is an abundant number, since it is smaller than the sum of its proper divisors (236905950).

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

121412130 is a wasteful number, since it uses less digits than its factorization.

121412130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 121412130 is about 11018.7172574670. The cubic root of 121412130 is about 495.1696592191.

Adding to 121412130 its reverse (31214121), we get a palindrome (152626251).

The spelling of 121412130 in words is "one hundred twenty-one million, four hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 71 85 102 105 119 142 170 210 213 238 255 355 357 426 479 497 510 595 710 714 958 994 1065 1190 1207 1437 1491 1785 2130 2395 2414 2485 2874 2982 3353 3570 3621 4790 4970 6035 6706 7185 7242 7455 8143 8449 10059 12070 14370 14910 16286 16765 16898 18105 20118 24429 25347 33530 34009 36210 40715 42245 48858 50295 50694 57001 68018 81430 84490 100590 102027 114002 122145 126735 170045 171003 204054 238063 244290 253470 285005 340090 342006 476126 510135 570010 578153 714189 855015 1020270 1156306 1190315 1428378 1710030 1734459 2380630 2890765 3468918 3570945 4047071 5781530 7141890 8094142 8672295 12141213 17344590 20235355 24282426 40470710 60706065 121412130