Search a number
-
+
1121022022120 = 23571113253911027
BaseRepresentation
bin10000010100000010000…
…111101001000111101000
310222011112221201010202121
4100110002013221013220
5121331323114201440
62214553532241024
7143663653652530
oct20240207510750
93864487633677
101121022022120
113a24717853a0
12161318010174
1381934130a10
143c3873d04c0
151e2612ed34a
hex105021e91e8

1121022022120 has 256 divisors, whose sum is σ = 3388225075200. Its totient is φ = 322375541760.

The previous prime is 1121022022067. The next prime is 1121022022201. The reversal of 1121022022120 is 212202201211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1121022022094 and 1121022022103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101656047 + ... + 101667073.

It is an arithmetic number, because the mean of its divisors is an integer number (13235254200).

Almost surely, 21121022022120 is an apocalyptic number.

1121022022120 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 1121022022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694112537600).

1121022022120 is an abundant number, since it is smaller than the sum of its proper divisors (2267203053080).

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

1121022022120 is a wasteful number, since it uses less digits than its factorization.

1121022022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13608 (or 13604 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1121022022120 its reverse (212202201211), we get a palindrome (1333224223331).

The spelling of 1121022022120 in words is "one trillion, one hundred twenty-one billion, twenty-two million, twenty-two thousand, one hundred twenty".