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1200200011122 = 237219295772661
BaseRepresentation
bin10001011101110001011…
…111101100110101110010
311020201221000001201122210
4101131301133230311302
5124131002200323442
62315210403312550
7152466034524600
oct21356137546562
94221830051583
101200200011122
11423002687442
1217473467b756
1389241b77098
1442138d10870
152134754819c
hex117717ecd72

1200200011122 has 96 divisors (see below), whose sum is σ = 2940299801280. Its totient is φ = 324751835520.

The previous prime is 1200200011093. The next prime is 1200200011211. The reversal of 1200200011122 is 2211100020021.

It is a junction number, because it is equal to n+sod(n) for n = 1200200011098 and 1200200011107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16481472 + ... + 16554132.

It is an arithmetic number, because the mean of its divisors is an integer number (30628122930).

Almost surely, 21200200011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200200011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470149900640).

1200200011122 is an abundant number, since it is smaller than the sum of its proper divisors (1740099790158).

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

1200200011122 is a wasteful number, since it uses less digits than its factorization.

1200200011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75656 (or 75649 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1200200011122 its reverse (2211100020021), we get a palindrome (3411300031143).

The spelling of 1200200011122 in words is "one trillion, two hundred billion, two hundred million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 798 931 1862 2793 2957 5586 5914 8871 17742 20699 41398 56183 62097 72661 112366 124194 144893 145322 168549 217983 289786 337098 393281 434679 435966 508627 786562 869358 1017254 1179843 1380559 1525881 2359686 2752967 2761118 3051762 3560389 4141677 5505934 7120778 8258901 8283354 9663913 10681167 16517802 19327826 21362334 28991739 57983478 67647391 135294782 202942173 214858577 405884346 429717154 644575731 1289151462 1504010039 3008020078 4082312963 4512030117 8164625926 9024060234 10528070273 12246938889 21056140546 24493877778 28576190741 31584210819 57152381482 63168421638 85728572223 171457144446 200033335187 400066670374 600100005561 1200200011122