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12002123213130 = 235127191145311351
BaseRepresentation
bin1010111010100111011001…
…0010100110100101001010
31120111101120121021111122210
42232221312102212211022
53033120322020310010
641305411013525550
72346060542020161
oct256516622464512
946441517244583
1012002123213130
1139080877282a6
12141a1129438b6
13690a4554750b
142d6c9798c3d8
1515c309520b20
hexaea764a694a

12002123213130 has 128 divisors (see below), whose sum is σ = 29206565093376. Its totient is φ = 3156287904000.

The previous prime is 12002123213123. The next prime is 12002123213149. The reversal of 12002123213130 is 3131232120021.

12002123213130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12002123213097 and 12002123213106.

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, 1057356955 + ... + 1057368305.

It is an arithmetic number, because the mean of its divisors is an integer number (228176289792).

Almost surely, 212002123213130 is an apocalyptic number.

12002123213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002123213130 is an abundant number, since it is smaller than the sum of its proper divisors (17204441880246).

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

12002123213130 is a wasteful number, since it uses less digits than its factorization.

12002123213130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13132.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12002123213130 its reverse (3131232120021), we get a palindrome (15133355333151).

The spelling of 12002123213130 in words is "twelve trillion, two billion, one hundred twenty-three million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 127 191 254 381 382 573 635 762 955 1146 1270 1453 1905 1910 2865 2906 3810 4359 5730 7265 8718 11351 14530 21795 22702 24257 34053 43590 48514 56755 68106 72771 113510 121285 145542 170265 184531 242570 277523 340530 363855 369062 553593 555046 727710 832569 922655 1107186 1387615 1441577 1665138 1845310 2168041 2767965 2775230 2883154 4162845 4324731 4336082 5535930 6504123 7207885 8325690 8649462 10840205 13008246 14415770 16493003 21623655 21680410 32520615 32986006 35245421 43247310 49479009 65041230 70490842 82465015 98958018 105736263 164930030 176227105 211472526 247395045 275341207 352454210 494790090 528681315 550682414 826023621 1057362630 1376706035 1652047242 2094611381 2753412070 3150163573 4130118105 4189222762 6283834143 6300327146 8260236210 9450490719 10473056905 12567668286 15750817865 18900981438 20946113810 31419170715 31501635730 47252453595 62838341430 94504907190 400070773771 800141547542 1200212321313 2000353868855 2400424642626 4000707737710 6001061606565 12002123213130