Search a number
-
+
1120122102000 = 2435311149113903
BaseRepresentation
bin10000010011001100011…
…110101110000011110000
310222002020020100110102210
4100103030132232003300
5121323002224231000
62214324344012120
7143632445525646
oct20231436560360
93862206313383
101120122102000
113a204a7a8060
12161106761040
138181c8647c5
143c2dda95196
151e20c2da350
hex104cc7ae0f0

1120122102000 has 320 divisors, whose sum is σ = 3966046156800. Its totient is φ = 269719936000.

The previous prime is 1120122101921. The next prime is 1120122102019. The reversal of 1120122102000 is 2012210211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 9777049 + ... + 9890951.

It is an arithmetic number, because the mean of its divisors is an integer number (12393894240).

Almost surely, 21120122102000 is an apocalyptic number.

1120122102000 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 1120122102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983023078400).

1120122102000 is an abundant number, since it is smaller than the sum of its proper divisors (2845924054800).

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

1120122102000 is a wasteful number, since it uses less digits than its factorization.

1120122102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114089 (or 114073 counting only the distinct ones).

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

Adding to 1120122102000 its reverse (2012210211), we get a palindrome (1122134312211).

The spelling of 1120122102000 in words is "one trillion, one hundred twenty billion, one hundred twenty-two million, one hundred two thousand".