Search a number
-
+
122023021120 = 26571121334631
BaseRepresentation
bin111000110100100100…
…0111000101001000000
3102122221222211201202121
41301221020320221000
53444400343133440
6132020120454024
711546562365110
oct1615110705100
9378858751677
10122023021120
11478278a5900
121b79531a314
13b678361ca0
145c97cb5040
1532928b434a
hex1c69238a40

122023021120 has 336 divisors, whose sum is σ = 393099243264. Its totient is φ = 35106508800.

The previous prime is 122023021063. The next prime is 122023021129. The reversal of 122023021120 is 21120320221.

It is a happy number.

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 = 122023021094 and 122023021103.

It is not an unprimeable number, because it can be changed into a prime (122023021129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3506205 + ... + 3540835.

It is an arithmetic number, because the mean of its divisors is an integer number (1169938224).

Almost surely, 2122023021120 is an apocalyptic number.

122023021120 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 122023021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196549621632).

122023021120 is an abundant number, since it is smaller than the sum of its proper divisors (271076222144).

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

122023021120 is a wasteful number, since it uses less digits than its factorization.

122023021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34690 (or 34669 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122023021120 its reverse (21120320221), we get a palindrome (143143341341).

The spelling of 122023021120 in words is "one hundred twenty-two billion, twenty-three million, twenty-one thousand, one hundred twenty".