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12121130010 = 235111312571091
BaseRepresentation
bin10110100100111100…
…11100010000011010
31011021202001012111010
423102132130100122
5144311002130020
65322433514350
7606241622313
oct132236342032
934252035433
1012121130010
115160075420
1224234129b6
1311b2295ba2
1482db4d60a
154ae1eade0
hex2d279c41a

12121130010 has 128 divisors (see below), whose sum is σ = 32131427328. Its totient is φ = 2902016000.

The previous prime is 12121129957. The next prime is 12121130041. The reversal of 12121130010 is 1003112121.

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, 11109565 + ... + 11110655.

It is an arithmetic number, because the mean of its divisors is an integer number (251026776).

Almost surely, 212121130010 is an apocalyptic number.

12121130010 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 12121130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16065713664).

12121130010 is an abundant number, since it is smaller than the sum of its proper divisors (20010297318).

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

12121130010 is a wasteful number, since it uses less digits than its factorization.

12121130010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12121130010 its reverse (1003112121), we get a palindrome (13124242131).

The spelling of 12121130010 in words is "twelve billion, one hundred twenty-one million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 131 165 257 262 330 393 514 655 771 786 1091 1285 1310 1441 1542 1965 2182 2570 2827 2882 3273 3855 3930 4323 5455 5654 6546 7205 7710 8481 8646 10910 12001 14135 14410 16365 16962 21615 24002 28270 32730 33667 36003 42405 43230 60005 67334 72006 84810 101001 120010 142921 168335 180015 202002 280387 285842 336670 360030 370337 428763 505005 560774 714605 740674 841161 857526 1010010 1111011 1401935 1429210 1572131 1682322 1851685 2143815 2222022 2803870 3084257 3144262 3703370 4205805 4287630 4716393 5555055 6168514 7860655 8411610 9252771 9432786 11110110 15421285 15721310 18505542 23581965 30842570 36730697 46263855 47163930 73461394 92527710 110192091 183653485 220384182 367306970 404037667 550960455 808075334 1101920910 1212113001 2020188335 2424226002 4040376670 6060565005 12121130010