Search a number
-
+
1212022020000 = 25354115334649
BaseRepresentation
bin10001101000110010001…
…001000101011110100000
311021212102220021000002110
4101220302021011132200
5124324210114120000
62324443434115320
7153365015121021
oct21506211053640
94255386230073
101212022020000
11428019918710
12176a9387bb40
138a3a718c1cc
144293b038c48
15217da35a850
hex11a322457a0

1212022020000 has 480 divisors, whose sum is σ = 4419059198400. Its totient is φ = 288271360000.

The previous prime is 1212022019993. The next prime is 1212022020007. The reversal of 1212022020000 is 202202121.

It is an interprime number because it is at equal distance from previous prime (1212022019993) and next prime (1212022020007).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (1212022020007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34962676 + ... + 34997324.

It is an arithmetic number, because the mean of its divisors is an integer number (9206373330).

Almost surely, 21212022020000 is an apocalyptic number.

1212022020000 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 1212022020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209529599200).

1212022020000 is an abundant number, since it is smaller than the sum of its proper divisors (3207037178400).

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

1212022020000 is a wasteful number, since it uses less digits than its factorization.

1212022020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34746 (or 34723 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1212022020000 its reverse (202202121), we get a palindrome (1212224222121).

The spelling of 1212022020000 in words is "one trillion, two hundred twelve billion, twenty-two million, twenty thousand".