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1242121320 = 23325111718451
BaseRepresentation
bin100101000001001…
…0100010001101000
310012120021022010100
41022002110101220
510020440340240
6323130545400
742531566646
oct11202242150
93176238110
101242121320
11588166150
122a7b98260
1316a45173b
14bad76196
15740aae30
hex4a094468

1242121320 has 192 divisors, whose sum is σ = 4663189440. Its totient is φ = 283392000.

The previous prime is 1242121289. The next prime is 1242121327. The reversal of 1242121320 is 231212421.

It is a happy number.

1242121320 is a `hidden beast` number, since 12 + 421 + 213 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1242121293 and 1242121302.

It is not an unprimeable number, because it can be changed into a prime (1242121327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58095 + ... + 76545.

It is an arithmetic number, because the mean of its divisors is an integer number (24287445).

Almost surely, 21242121320 is an apocalyptic number.

1242121320 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 1242121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331594720).

1242121320 is an abundant number, since it is smaller than the sum of its proper divisors (3421068120).

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

1242121320 is a wasteful number, since it uses less digits than its factorization.

1242121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18496 (or 18489 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1242121320 is about 35243.7415720862. The cubic root of 1242121320 is about 1074.9493597923.

Adding to 1242121320 its reverse (231212421), we get a palindrome (1473333741).

The spelling of 1242121320 in words is "one billion, two hundred forty-two million, one hundred twenty-one thousand, three hundred twenty".