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1212082144 = 257132931463
BaseRepresentation
bin100100000111110…
…1110011111100000
310010110202011010021
41020033232133200
54440243112034
6320135043224
742015346120
oct11017563740
93113664107
101212082144
11572209289
12299b10514
13164164990
14b6d96c80
15716256b4
hex483ee7e0

1212082144 has 192 divisors, whose sum is σ = 3143024640. Its totient is φ = 447068160.

The previous prime is 1212082063. The next prime is 1212082147. The reversal of 1212082144 is 4412802121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212082147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2617657 + ... + 2618119.

It is an arithmetic number, because the mean of its divisors is an integer number (16369920).

Almost surely, 21212082144 is an apocalyptic number.

1212082144 is a gapful number since it is divisible by the number (14) 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 1212082144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571512320).

1212082144 is an abundant number, since it is smaller than the sum of its proper divisors (1930942496).

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

1212082144 is a wasteful number, since it uses less digits than its factorization.

1212082144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 1212082144 is about 34814.9701134440. The cubic root of 1212082144 is about 1066.2131089060.

Adding to 1212082144 its reverse (4412802121), we get a palindrome (5624884265).

The spelling of 1212082144 in words is "one billion, two hundred twelve million, eighty-two thousand, one hundred forty-four".