Search a number
-
+
1200111022020 = 223559283107647
BaseRepresentation
bin10001011101101100001…
…100001110111111000100
311020201200210121121120010
4101131230030032333010
5124130311410201040
62315153504110220
7152463604242261
oct21355414167704
94221623547503
101200111022020
11422a67426629
1217470a905370
13892295ba301
144212b188268
152133e81ae80
hex1176c30efc4

1200111022020 has 288 divisors, whose sum is σ = 3497141910528. Its totient is φ = 307434232064.

The previous prime is 1200111022009. The next prime is 1200111022129. The reversal of 1200111022020 is 202201110021.

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

It is a junction number, because it is equal to n+sod(n) for n = 1200111021987 and 1200111022005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1854885337 + ... + 1854885983.

It is an arithmetic number, because the mean of its divisors is an integer number (12142853856).

Almost surely, 21200111022020 is an apocalyptic number.

1200111022020 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 1200111022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748570955264).

1200111022020 is an abundant number, since it is smaller than the sum of its proper divisors (2297030888508).

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

1200111022020 is a wasteful number, since it uses less digits than its factorization.

1200111022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 906 counting only the distinct ones).

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

Adding to 1200111022020 its reverse (202201110021), we get a palindrome (1402312132041).

The spelling of 1200111022020 in words is "one trillion, two hundred billion, one hundred eleven million, twenty-two thousand, twenty".