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1242120000 = 2635411941
BaseRepresentation
bin100101000001001…
…0011111101000000
310012120021020022110
41022002103331000
510020440320000
6323130535320
742531563052
oct11202237500
93176236273
101242120000
11588165160
122a7b97540
1316a450c64
14bad758d2
15740aa850
hex4a093f40

1242120000 has 280 divisors, whose sum is σ = 4484839392. Its totient is φ = 300800000.

The previous prime is 1242119987. The next prime is 1242120001. The reversal of 1242120000 is 212421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242120001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1319530 + ... + 1320470.

Almost surely, 21242120000 is an apocalyptic number.

1242120000 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 1242120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242419696).

1242120000 is an abundant number, since it is smaller than the sum of its proper divisors (3242719392).

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

1242120000 is an equidigital number, since it uses as much as digits as its factorization.

1242120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 962 counting only the distinct ones).

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

The square root of 1242120000 is about 35243.7228453522. The cubic root of 1242120000 is about 1074.9489790099.

Adding to 1242120000 its reverse (212421), we get a palindrome (1242332421).

The spelling of 1242120000 in words is "one billion, two hundred forty-two million, one hundred twenty thousand".