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121020123312032 = 257738377883483
BaseRepresentation
bin11011100001000100110001…
…011101011110111110100000
3120212111102002110202121222112
4123201010301131132332200
5111330243203031441112
61105215513243454452
734330262321234330
oct3341046135367640
9525442073677875
10121020123312032
113561938969229a
12116a6616527428
13526b1c17b6729
1421c5595cdb0c0
15ded027894a22
hex6e113175efa0

121020123312032 has 96 divisors (see below), whose sum is σ = 276058612593792. Its totient is φ = 51149112643584.

The previous prime is 121020123312013. The next prime is 121020123312073. The reversal of 121020123312032 is 230213321020121.

It is a super-2 number, since 2×1210201233120322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121020123311989 and 121020123312007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136538963 + ... + 137422445.

It is an arithmetic number, because the mean of its divisors is an integer number (2875610547852).

Almost surely, 2121020123312032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121020123312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138029306296896).

121020123312032 is an abundant number, since it is smaller than the sum of its proper divisors (155038489281760).

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

121020123312032 is an equidigital number, since it uses as much as digits as its factorization.

121020123312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891950 (or 891942 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 121020123312032 its reverse (230213321020121), we get a palindrome (351233444332153).

The spelling of 121020123312032 in words is "one hundred twenty-one trillion, twenty billion, one hundred twenty-three million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 4088 8176 8377 16352 16754 33508 58639 67016 117278 134032 234556 268064 469112 611521 883483 938224 1223042 1766966 1876448 2446084 3533932 4280647 4892168 6184381 7067864 8561294 9784336 12368762 14135728 17122588 19568672 24737524 28271456 34245176 49475048 64494259 68490352 98950096 128988518 136980704 197900192 257977036 451459813 515954072 902919626 1031908144 1805839252 2063816288 3611678504 7223357008 7400937091 14446714016 14801874182 29603748364 51806559637 59207496728 103613119274 118414993456 207226238548 236829986912 414452477096 540268407643 828904954192 1080536815286 1657809908384 2161073630572 3781878853501 4322147261144 7563757707002 8644294522288 15127515414004 17288589044576 30255030828008 60510061656016 121020123312032