Search a number
-
+
1121202222120 = 2332537163516407
BaseRepresentation
bin10000010100001100110…
…111000011010000101000
310222012000111210020200200
4100110030313003100220
5121332210232101440
62215023450432200
7144001302433131
oct20241467032050
93865014706620
101121202222120
113a2554474312
12161368432660
1381962574936
143c3a32dac88
151e272045c30
hex1050cdc3428

1121202222120 has 192 divisors, whose sum is σ = 3765357947520. Its totient is φ = 289121260032.

The previous prime is 1121202222067. The next prime is 1121202222199. The reversal of 1121202222120 is 212222021211.

It is a happy number.

1121202222120 is a `hidden beast` number, since 1 + 121 + 202 + 222 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1121202222093 and 1121202222102.

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, 1912957 + ... + 2429363.

It is an arithmetic number, because the mean of its divisors is an integer number (19611239310).

Almost surely, 21121202222120 is an apocalyptic number.

1121202222120 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 1121202222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882678973760).

1121202222120 is an abundant number, since it is smaller than the sum of its proper divisors (2644155725400).

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

1121202222120 is a wasteful number, since it uses less digits than its factorization.

1121202222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516624 (or 516617 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1121202222120 its reverse (212222021211), we get a palindrome (1333424243331).

The spelling of 1121202222120 in words is "one trillion, one hundred twenty-one billion, two hundred two million, two hundred twenty-two thousand, one hundred twenty".