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1200120211122 = 2371923268324371
BaseRepresentation
bin10001011101101100101…
…111010010011010110010
311020201201102220110122020
4101131230233102122302
5124130321233223442
62315154433052310
7152464045323540
oct21355457223262
94221642813566
101200120211122
11422a71632528
121747119b7096
138922b486a51
144212c49ad90
15213405339ec
hex1176cbd26b2

1200120211122 has 128 divisors (see below), whose sum is σ = 3014297763840. Its totient is φ = 310592335680.

The previous prime is 1200120211109. The next prime is 1200120211127. The reversal of 1200120211122 is 2211120210021.

It is a super-2 number, since 2×12001202111222 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1200120211127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49231597 + ... + 49255967.

It is an arithmetic number, because the mean of its divisors is an integer number (23549201280).

Almost surely, 21200120211122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200120211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507148881920).

1200120211122 is an abundant number, since it is smaller than the sum of its proper divisors (1814177552718).

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

1200120211122 is a wasteful number, since it uses less digits than its factorization.

1200120211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27108.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1200120211122 its reverse (2211120210021), we get a palindrome (3411240421143).

The spelling of 1200120211122 in words is "one trillion, two hundred billion, one hundred twenty million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 69 114 133 138 161 266 322 399 437 483 798 874 966 1311 2622 2683 3059 5366 6118 8049 9177 16098 18354 18781 24371 37562 48742 50977 56343 61709 73113 101954 112686 123418 146226 152931 170597 185127 305862 341194 356839 370254 431963 463049 511791 560533 713678 863926 926098 1023582 1070517 1121066 1172471 1295889 1389147 1681599 2141034 2344942 2591778 2778294 3241343 3363198 3517413 3923731 6482686 7034826 7847462 8207297 9724029 10650127 11771193 16414594 19448058 21300254 23542386 24621891 31950381 49243782 63900762 65387393 74550889 130774786 149101778 196162179 223652667 392324358 447305334 457711751 915423502 1242360467 1373135253 1503910039 2484720934 2746270506 3007820078 3727081401 4511730117 7454162802 8696523269 9023460234 10527370273 17393046538 21054740546 26089569807 28574290741 31582110819 52179139614 57148581482 63164221638 85722872223 171445744446 200020035187 400040070374 600060105561 1200120211122