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1201323120 = 243523367593
BaseRepresentation
bin100011110011010…
…1011110001110000
310002201111112111220
41013212223301300
54430014314440
6315112305040
741525035524
oct10746536160
93081445456
101201323120
1156712a928
122963a2180
13161b687aa
14b5795d84
15706ec8d0
hex479abc70

1201323120 has 160 divisors (see below), whose sum is σ = 3903178752. Its totient is φ = 305074176.

The previous prime is 1201323119. The next prime is 1201323163. The reversal of 1201323120 is 213231021.

1201323120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1201323120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2025544 + ... + 2026136.

Almost surely, 21201323120 is an apocalyptic number.

1201323120 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 1201323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951589376).

1201323120 is an abundant number, since it is smaller than the sum of its proper divisors (2701855632).

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

1201323120 is a wasteful number, since it uses less digits than its factorization.

1201323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1201323120 is about 34660.1084822307. The cubic root of 1201323120 is about 1063.0489881719.

Adding to 1201323120 its reverse (213231021), we get a palindrome (1414554141).

The spelling of 1201323120 in words is "one billion, two hundred one million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 367 368 460 552 593 690 734 920 1101 1104 1186 1380 1468 1779 1835 1840 2202 2372 2760 2936 2965 3558 3670 4404 4744 5505 5520 5872 5930 7116 7340 8441 8808 8895 9488 11010 11860 13639 14232 14680 16882 17616 17790 22020 23720 25323 27278 28464 29360 33764 35580 40917 42205 44040 47440 50646 54556 67528 68195 71160 81834 84410 88080 101292 109112 126615 135056 136390 142320 163668 168820 202584 204585 217631 218224 253230 272780 327336 337640 405168 409170 435262 506460 545560 652893 654672 675280 818340 870524 1012920 1088155 1091120 1305786 1636680 1741048 2025840 2176310 2611572 3264465 3273360 3482096 4352620 5005513 5223144 6528930 8705240 10011026 10446288 13057860 15016539 17410480 20022052 25027565 26115720 30033078 40044104 50055130 52231440 60066156 75082695 80088208 100110260 120132312 150165390 200220520 240264624 300330780 400441040 600661560 1201323120