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120024141420 = 223513137340939
BaseRepresentation
bin110111111000111111…
…1110000111001101100
3102110210200121010022010
41233301333300321230
53431302140011140
6131045513521220
711446211240361
oct1576177607154
9373720533263
10120024141420
11469a1553a07
121b317a13210
13b41a1ba831
145b4862c468
1531c7173880
hex1bf1ff0e6c

120024141420 has 96 divisors (see below), whose sum is σ = 339549154560. Its totient is φ = 31676186880.

The previous prime is 120024141401. The next prime is 120024141437. The reversal of 120024141420 is 24141420021.

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, 2911311 + ... + 2952249.

It is an arithmetic number, because the mean of its divisors is an integer number (3536970360).

Almost surely, 2120024141420 is an apocalyptic number.

120024141420 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 120024141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169774577280).

120024141420 is an abundant number, since it is smaller than the sum of its proper divisors (219525013140).

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

120024141420 is a wasteful number, since it uses less digits than its factorization.

120024141420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41455 (or 41453 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 120024141420 its reverse (24141420021), we get a palindrome (144165561441).

The spelling of 120024141420 in words is "one hundred twenty billion, twenty-four million, one hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 373 393 524 655 746 786 1119 1310 1492 1572 1865 1965 2238 2620 3730 3930 4476 5595 7460 7860 11190 22380 40939 48863 81878 97726 122817 146589 163756 195452 204695 244315 245634 293178 409390 488630 491268 586356 614085 732945 818780 977260 1228170 1465890 2456340 2931780 5363009 10726018 15270247 16089027 21452036 26815045 30540494 32178054 45810741 53630090 61080988 64356108 76351235 80445135 91621482 107260180 152702470 160890270 183242964 229053705 305404940 321780540 458107410 916214820 2000402357 4000804714 6001207071 8001609428 10002011785 12002414142 20004023570 24004828284 30006035355 40008047140 60012070710 120024141420