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12311332021016 = 237597614896439
BaseRepresentation
bin1011001100100111010010…
…0100100110001100011000
31121120221200220012102222122
42303021310210212030120
53103202101444133031
642103425311440412
72410315166354120
oct263116444461430
947527626172878
1012311332021016
113a1722aa74226
12146a028226108
136b3c52175772
14307c2bb3bc80
151653a53a547b
hexb3274926318

12311332021016 has 64 divisors (see below), whose sum is σ = 26863828416000. Its totient is φ = 5180039688960.

The previous prime is 12311332021013. The next prime is 12311332021139. The reversal of 12311332021016 is 61012023311321.

It is a super-2 number, since 2×123113320210162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311332021013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66125 + ... + 4962563.

It is an arithmetic number, because the mean of its divisors is an integer number (419747319000).

Almost surely, 212311332021016 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 12311332021016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13431914208000).

12311332021016 is an abundant number, since it is smaller than the sum of its proper divisors (14552496394984).

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

12311332021016 is a wasteful number, since it uses less digits than its factorization.

12311332021016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4897272 (or 4897268 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 12311332021016 its reverse (61012023311321), we get a palindrome (73323355332337).

The spelling of 12311332021016 in words is "twelve trillion, three hundred eleven billion, three hundred thirty-two million, twenty-one thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 761 826 1522 1652 3044 3304 5327 6088 10654 21308 42616 44899 89798 179596 314293 359192 628586 1257172 2514344 4896439 9792878 19585756 34275073 39171512 68550146 137100292 274200584 288889901 577779802 1155559604 2022229307 2311119208 3726190079 4044458614 7452380158 8088917228 14904760316 16177834456 26083330553 29809520632 52166661106 104333322212 208666644424 219845214661 439690429322 879380858644 1538916502627 1758761717288 3077833005254 6155666010508 12311332021016