Search a number
-
+
1210112221120 = 2651110129311617
BaseRepresentation
bin10001100111000000010…
…011110001111111000000
311021200111210122011112121
4101213000103301333000
5124311302212033440
62323530132334024
7153266465110165
oct21470023617700
94250453564477
101210112221120
1142722988a530
12176640174314
138a1616074ba
14427d954006c
152172786434a
hex119c04f1fc0

1210112221120 has 224 divisors, whose sum is σ = 3185774940096. Its totient is φ = 434159616000.

The previous prime is 1210112221057. The next prime is 1210112221121. The reversal of 1210112221120 is 211222110121.

It is a super-3 number, since 3×12101122211203 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1210112221094 and 1210112221103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210112221121) 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, 104161552 + ... + 104173168.

It is an arithmetic number, because the mean of its divisors is an integer number (14222209554).

Almost surely, 21210112221120 is an apocalyptic number.

1210112221120 is a gapful number since it is divisible by the number (10) 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 1210112221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592887470048).

1210112221120 is an abundant number, since it is smaller than the sum of its proper divisors (1975662718976).

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

1210112221120 is a wasteful number, since it uses less digits than its factorization.

1210112221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12039 (or 12029 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1210112221120 its reverse (211222110121), we get a palindrome (1421334331241).

It can be divided in two parts, 12101 and 12221120, that added together give a palindrome (12233221).

The spelling of 1210112221120 in words is "one trillion, two hundred ten billion, one hundred twelve million, two hundred twenty-one thousand, one hundred twenty".