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12321331201032 = 23371710214225457
BaseRepresentation
bin1011001101001100100010…
…0100011100010000001000
31121121220111202102102022020
42303103020210130100020
53103333041241413112
642112201424524440
72411121034112340
oct263231044342010
947556452372266
1012321331201032
113a204a1279167
12146bb58a80720
136b4b86936929
143084d9b29d20
1516578d15048c
hexb34c891c408

12321331201032 has 128 divisors (see below), whose sum is σ = 37311132176640. Its totient is φ = 3310053212160.

The previous prime is 12321331201007. The next prime is 12321331201043. The reversal of 12321331201032 is 23010213312321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12321331200993 and 12321331201011.

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, 803248 + ... + 5028704.

It is an arithmetic number, because the mean of its divisors is an integer number (291493220130).

Almost surely, 212321331201032 is an apocalyptic number.

12321331201032 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 12321331201032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18655566088320).

12321331201032 is an abundant number, since it is smaller than the sum of its proper divisors (24989800975608).

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

12321331201032 is a wasteful number, since it uses less digits than its factorization.

12321331201032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226511 (or 4226507 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12321331201032 its reverse (23010213312321), we get a palindrome (35331544513353).

The spelling of 12321331201032 in words is "twelve trillion, three hundred twenty-one billion, three hundred thirty-one million, two hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1021 1428 2042 2856 3063 4084 6126 7147 8168 12252 14294 17357 21441 24504 28588 34714 42882 52071 57176 69428 85764 104142 121499 138856 171528 208284 242998 364497 416568 485996 728994 971992 1457988 2915976 4225457 8450914 12676371 16901828 25352742 29578199 33803656 50705484 59156398 71832769 88734597 101410968 118312796 143665538 177469194 215498307 236625592 287331076 354938388 430996614 502829383 574662152 709876776 861993228 1005658766 1508488149 1723986456 2011317532 3016976298 4022635064 4314191597 6033952596 8628383194 12067905192 12942574791 17256766388 25885149582 30199341179 34513532776 51770299164 60398682358 73341257149 90598023537 103540598328 120797364716 146682514298 181196047074 220023771447 241594729432 293365028596 362392094148 440047542894 513388800043 586730057192 724784188296 880095085788 1026777600086 1540166400129 1760190171576 2053555200172 3080332800258 4107110400344 6160665600516 12321331201032