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1223042120 = 235436710613
BaseRepresentation
bin100100011100110…
…0010010001001000
310011020100222101022
41020321202101020
510001044321440
6321210012012
742210454316
oct11071422110
93136328338
101223042120
11578414713
122a1717008
13166501481
14b860b0b6
157258ccb5
hex48e62448

1223042120 has 64 divisors (see below), whose sum is σ = 2858137920. Its totient is φ = 470663424.

The previous prime is 1223042113. The next prime is 1223042123. The reversal of 1223042120 is 212403221.

It is not an unprimeable number, because it can be changed into a prime (1223042123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109934 + ... + 120546.

It is an arithmetic number, because the mean of its divisors is an integer number (44658405).

Almost surely, 21223042120 is an apocalyptic number.

1223042120 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 1223042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429068960).

1223042120 is an abundant number, since it is smaller than the sum of its proper divisors (1635095800).

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

1223042120 is a wasteful number, since it uses less digits than its factorization.

1223042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10734 (or 10730 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1223042120 is about 34972.0191009899. The cubic root of 1223042120 is about 1069.4171338560.

Adding to 1223042120 its reverse (212403221), we get a palindrome (1435445341).

The spelling of 1223042120 in words is "one billion, two hundred twenty-three million, forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 67 86 134 172 215 268 335 344 430 536 670 860 1340 1720 2680 2881 5762 10613 11524 14405 21226 23048 28810 42452 53065 57620 84904 106130 115240 212260 424520 456359 711071 912718 1422142 1825436 2281795 2844284 3555355 3650872 4563590 5688568 7110710 9127180 14221420 18254360 28442840 30576053 61152106 122304212 152880265 244608424 305760530 611521060 1223042120