Search a number
-
+
1212201121024 = 2829493733073
BaseRepresentation
bin10001101000111100110…
…100010011010100000000
311021212220101021021111201
4101220330310103110000
5124330041441333044
62324513312550544
7153402321343315
oct21507464232400
94255811237451
101212201121024
11428100a26993
12176b23852454
138a405309b4a
1442956b3ad0c
15217eae377d4
hex11a3cd13500

1212201121024 has 72 divisors (see below), whose sum is σ = 2503686585960. Its totient is φ = 585064316928.

The previous prime is 1212201120967. The next prime is 1212201121031. The reversal of 1212201121024 is 4201211022121.

It can be written as a sum of positive squares in 4 ways, for example, as 148662682624 + 1063538438400 = 385568^2 + 1031280^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1212201120992 and 1212201121010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36635752 + ... + 36668824.

It is an arithmetic number, because the mean of its divisors is an integer number (34773424805).

Almost surely, 21212201121024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212201121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251843292980).

1212201121024 is an abundant number, since it is smaller than the sum of its proper divisors (1291485464936).

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

1212201121024 is an equidigital number, since it uses as much as digits as its factorization.

1212201121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38055 (or 38041 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 1212201121024 its reverse (4201211022121), we get a palindrome (5413412143145).

The spelling of 1212201121024 in words is "one trillion, two hundred twelve billion, two hundred one million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 4937 7424 9874 19748 33073 39496 66146 78992 132292 143173 157984 264584 286346 315968 529168 572692 631936 959117 1058336 1145384 1263872 1918234 2116672 2290768 3836468 4233344 4581536 7672936 8466688 9163072 15345872 18326144 30691744 36652288 61383488 122766976 163281401 245533952 326562802 653125604 1306251208 2612502416 4735160629 5225004832 9470321258 10450009664 18940642516 20900019328 37881285032 41800038656 75762570064 151525140128 303050280256 606100560512 1212201121024