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12001032133332 = 22311977951117883
BaseRepresentation
bin1010111010100011010101…
…0000011101101011010100
31120111021202120012220112220
42232220311100131223110
53033111103211231312
641305110440142340
72346021523005414
oct256506520355324
946437676186486
1012001032133332
113907677855960
121419a694679b0
1369090049aa78
142d6bd2ad2644
1515c29384cc8c
hexaea3541dad4

12001032133332 has 96 divisors (see below), whose sum is σ = 30867153967104. Its totient is φ = 3598701696000.

The previous prime is 12001032133291. The next prime is 12001032133411. The reversal of 12001032133332 is 23333123010021.

12001032133332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101745663 + ... + 101863545.

It is an arithmetic number, because the mean of its divisors is an integer number (321532853824).

Almost surely, 212001032133332 is an apocalyptic number.

12001032133332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001032133332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15433576983552).

12001032133332 is an abundant number, since it is smaller than the sum of its proper divisors (18866121833772).

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

12001032133332 is a wasteful number, since it uses less digits than its factorization.

12001032133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125949 (or 125947 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12001032133332 its reverse (23333123010021), we get a palindrome (35334155143353).

The spelling of 12001032133332 in words is "twelve trillion, one billion, thirty-two million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 3201 4268 6402 7951 12804 15902 23853 31804 47706 87461 95412 117883 174922 235766 262383 349844 353649 471532 524766 707298 771247 1049532 1296713 1414596 1542494 2313741 2593426 3084988 3890139 4627482 5186852 7780278 8483717 9254964 11434651 15560556 16967434 22869302 25451151 33934868 34303953 45738604 50902302 68607906 101804604 125781161 137215812 251562322 377343483 503124644 754686966 937287733 1509373932 1874575466 2811863199 3749150932 5623726398 10310165063 11247452796 20620330126 30930495189 41240660252 61860990378 90916910101 123721980756 181833820202 272750730303 363667640404 545501460606 1000086011111 1091002921212 2000172022222 3000258033333 4000344044444 6000516066666 12001032133332