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1120120211112 = 233723353382051
BaseRepresentation
bin10000010011001100010…
…111100000011010101000
310222002020002210101121220
4100103030113200122220
5121323001233223422
62214324235302040
7143632423462110
oct20231427403250
93862202711556
101120120211112
113a2049726441
12161105baa920
138181c351c36
143c2dd722040
151e20c064e5c
hex104cc5e06a8

1120120211112 has 128 divisors (see below), whose sum is σ = 3340474767360. Its totient is φ = 306029433600.

The previous prime is 1120120211101. The next prime is 1120120211117. The reversal of 1120120211112 is 2111120210211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1120120211091 and 1120120211100.

It is not an unprimeable number, because it can be changed into a prime (1120120211117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13610487 + ... + 13692537.

It is an arithmetic number, because the mean of its divisors is an integer number (26097459120).

Almost surely, 21120120211112 is an apocalyptic number.

1120120211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120120211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670237383680).

1120120211112 is an abundant number, since it is smaller than the sum of its proper divisors (2220354556248).

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

1120120211112 is a wasteful number, since it uses less digits than its factorization.

1120120211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85623 (or 85619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1120120211112 its reverse (2111120210211), we get a palindrome (3231240421323).

Subtracting 1120120211112 from its reverse (2111120210211), we obtain a palindrome (990999999099).

The spelling of 1120120211112 in words is "one trillion, one hundred twenty billion, one hundred twenty million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3533 3864 7066 10599 14132 21198 24731 28264 42396 49462 74193 81259 82051 84792 98924 148386 162518 164102 197848 243777 246153 296772 325036 328204 487554 492306 568813 574357 593544 650072 656408 975108 984612 1137626 1148714 1706439 1723071 1887173 1950216 1969224 2275252 2297428 3412878 3446142 3774346 4550504 4594856 5661519 6825756 6892284 7548692 11323038 13210211 13651512 13784568 15097384 22646076 26420422 39630633 45292152 52840844 79261266 105681688 158522532 289886183 317045064 579772366 869658549 1159544732 1739317098 2029203281 2319089464 3478634196 4058406562 6087609843 6667382209 6957268392 8116813124 12175219686 13334764418 16233626248 20002146627 24350439372 26669528836 40004293254 46671675463 48700878744 53339057672 80008586508 93343350926 140015026389 160017173016 186686701852 280030052778 373373403704 560060105556 1120120211112