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12002033112030 = 23351323148668811
BaseRepresentation
bin1010111010100111000011…
…1010111001001111011110
31120111101100022201220012000
42232221300322321033132
53033120130434041110
641305354034423130
72346055366123563
oct256516072711736
946441308656160
1012002033112030
113908040887a85
12141a0a8731aa6
13690a2c98b560
142d6c89a1686a
1515c3016741c0
hexaea70eb93de

12002033112030 has 128 divisors (see below), whose sum is σ = 35965958999040. Its totient is φ = 2825896740480.

The previous prime is 12002033111993. The next prime is 12002033112049. The reversal of 12002033112030 is 3021133020021.

12002033112030 is a `hidden beast` number, since 120 + 0 + 203 + 311 + 2 + 0 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12002033111994 and 12002033112012.

It is a congruent number.

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, 74253676 + ... + 74415135.

It is an arithmetic number, because the mean of its divisors is an integer number (280984054680).

Almost surely, 212002033112030 is an apocalyptic number.

12002033112030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002033112030 is an abundant number, since it is smaller than the sum of its proper divisors (23963925887010).

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

12002033112030 is a wasteful number, since it uses less digits than its factorization.

12002033112030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148668863 (or 148668857 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12002033112030 its reverse (3021133020021), we get a palindrome (15023166132051).

The spelling of 12002033112030 in words is "twelve trillion, two billion, thirty-three million, one hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 27 30 39 45 46 54 65 69 78 90 115 117 130 135 138 195 207 230 234 270 299 345 351 390 414 585 598 621 690 702 897 1035 1170 1242 1495 1755 1794 2070 2691 2990 3105 3510 4485 5382 6210 8073 8970 13455 16146 26910 40365 80730 148668811 297337622 446006433 743344055 892012866 1338019299 1486688110 1932694543 2230032165 2676038598 3419382653 3865389086 4014057897 4460064330 5798083629 6690096495 6838765306 8028115794 9663472715 10258147959 11596167258 13380192990 17096913265 17394250887 19326945430 20070289485 20516295918 28990418145 30774443877 34193826530 34788501774 40140578970 44451974489 51290739795 52182752661 57980836290 61548887754 86971254435 88903948978 92323331631 102581479590 104365505322 133355923467 153872219385 173942508870 184646663262 222259872445 260913763305 266711846934 307744438770 400067770401 444519744890 461616658155 521827526610 666779617335 800135540802 923233316310 1200203311203 1333559234670 2000338852005 2400406622406 4000677704010 6001016556015 12002033112030