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12120333330 = 2357973171877
BaseRepresentation
bin10110100100110110…
…11001110000010010
31011021200112201122110
423102123121300102
5144310301131310
65322404450150
7606232063530
oct132233316022
934250481573
1012120333330
11515a680906
1224230a9956
1311b2077391
1482d9c3150
154ae0ded20
hex2d26d9c12

12120333330 has 128 divisors (see below), whose sum is σ = 33710971392. Its totient is φ = 2731696128.

The previous prime is 12120333319. The next prime is 12120333373. The reversal of 12120333330 is 3333302121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12120333297 and 12120333306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6456352 + ... + 6458228.

It is an arithmetic number, because the mean of its divisors is an integer number (263366964).

Almost surely, 212120333330 is an apocalyptic number.

12120333330 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 12120333330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16855485696).

12120333330 is an abundant number, since it is smaller than the sum of its proper divisors (21590638062).

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

12120333330 is a wasteful number, since it uses less digits than its factorization.

12120333330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 12120333330 its reverse (3333302121), we get a palindrome (15453635451).

The spelling of 12120333330 in words is "twelve billion, one hundred twenty million, three hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 97 105 194 210 291 317 485 582 634 679 951 970 1358 1455 1585 1877 1902 2037 2219 2910 3170 3395 3754 4074 4438 4755 5631 6657 6790 9385 9510 10185 11095 11262 13139 13314 18770 20370 22190 26278 28155 30749 33285 39417 56310 61498 65695 66570 78834 92247 131390 153745 182069 184494 197085 215243 307490 364138 394170 430486 461235 546207 595009 645729 910345 922470 1076215 1092414 1190018 1274483 1291458 1785027 1820690 2152430 2548966 2731035 2975045 3228645 3570054 3823449 4165063 5462070 5950090 6372415 6457290 7646898 8330126 8925135 12495189 12744830 17850270 19117245 20825315 24990378 38234490 41650630 57715873 62475945 115431746 124951890 173147619 288579365 346295238 404011111 577158730 808022222 865738095 1212033333 1731476190 2020055555 2424066666 4040111110 6060166665 12120333330