Search a number
-
+
1211200021020 = 22351117312112331
BaseRepresentation
bin10001101000000001001…
…001011010001000011100
311021210022121112010110210
4101220001021122020130
5124321014201133040
62324230111532420
7153335444211363
oct21500111321034
94253277463423
101211200021020
11427737921710
121768a452a110
138a2a5aa6092
144289dbc47da
152178d0da480
hex11a0125a21c

1211200021020 has 288 divisors, whose sum is σ = 4047769490688. Its totient is φ = 267435264000.

The previous prime is 1211200021019. The next prime is 1211200021033. The reversal of 1211200021020 is 201200021121.

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 = 1211200020987 and 1211200021005.

It is a congruent number.

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, 10726255 + ... + 10838585.

It is an arithmetic number, because the mean of its divisors is an integer number (14054755176).

Almost surely, 21211200021020 is an apocalyptic number.

1211200021020 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 1211200021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023884745344).

1211200021020 is an abundant number, since it is smaller than the sum of its proper divisors (2836569469668).

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

1211200021020 is a wasteful number, since it uses less digits than its factorization.

1211200021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112433 (or 112400 counting only the distinct ones).

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

Adding to 1211200021020 its reverse (201200021121), we get a palindrome (1412400042141).

The spelling of 1211200021020 in words is "one trillion, two hundred eleven billion, two hundred million, twenty-one thousand, twenty".