Search a number
-
+
1203022122120 = 23325721310151941
BaseRepresentation
bin10001100000011001101…
…101001100110010001000
311021000012200100211011100
4101200121231030302020
5124202242130401440
62320354415101400
7152626003213500
oct21403155146210
94230180324140
101203022122120
11424220697185
121751a1811860
13895a1746550
1442325a4ca00
152146019e230
hex11819b4cc88

1203022122120 has 576 divisors, whose sum is σ = 4946609107440. Its totient is φ = 251306496000.

The previous prime is 1203022122119. The next prime is 1203022122131. The reversal of 1203022122120 is 212212203021.

1203022122120 is a `hidden beast` number, since 1 + 203 + 0 + 221 + 221 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 286265661444 + 916756460676 = 535038^2 + 957474^2 .

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 = 1203022122093 and 1203022122102.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23135350 + ... + 23187290.

Almost surely, 21203022122120 is an apocalyptic number.

1203022122120 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 1203022122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473304553720).

1203022122120 is an abundant number, since it is smaller than the sum of its proper divisors (3743586985320).

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

1203022122120 is a wasteful number, since it uses less digits than its factorization.

1203022122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52086 (or 52072 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1203022122120 its reverse (212212203021), we get a palindrome (1415234325141).

It can be divided in two parts, 120302 and 2122120, that added together give a palindrome (2242422).

The spelling of 1203022122120 in words is "one trillion, two hundred three billion, twenty-two million, one hundred twenty-two thousand, one hundred twenty".