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12021102010112 = 281315832281813
BaseRepresentation
bin1010111011101110000110…
…0000111101111100000000
31120120012120021020021201112
42232323201200331330000
53033423204103310422
641322230143222452
72350332054103616
oct256734140757400
946505507207645
1012021102010112
113915136771388
12142192a8a7a28
1369277b4a00c0
142d7b783a76b6
1515ca6a7bcee2
hexaeee183df00

12021102010112 has 72 divisors (see below), whose sum is σ = 25857370211904. Its totient is φ = 5544693633024.

The previous prime is 12021102010061. The next prime is 12021102010147. The reversal of 12021102010112 is 21101020112021.

12021102010112 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 7 ways as a sum of consecutive naturals, for example, 4127318 + ... + 6409130.

It is an arithmetic number, because the mean of its divisors is an integer number (359130141832).

Almost surely, 212021102010112 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 12021102010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928685105952).

12021102010112 is an abundant number, since it is smaller than the sum of its proper divisors (13836268201792).

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

12021102010112 is a wasteful number, since it uses less digits than its factorization.

12021102010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283425 (or 2283411 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12021102010112 its reverse (21101020112021), we get a palindrome (33122122122133).

The spelling of 12021102010112 in words is "twelve trillion, twenty-one billion, one hundred two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1583 1664 3166 3328 6332 12664 20579 25328 41158 50656 82316 101312 164632 202624 329264 405248 658528 1317056 2281813 2634112 4563626 5268224 9127252 18254504 29663569 36509008 59327138 73018016 118654276 146036032 237308552 292072064 474617104 584144128 949234208 1898468416 3612109979 3796936832 7224219958 7593873664 14448439916 28896879832 46957429727 57793759664 93914859454 115587519328 187829718908 231175038656 375659437816 462350077312 751318875632 924700154624 1502637751264 3005275502528 6010551005056 12021102010112