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123201014020 = 22575921012503
BaseRepresentation
bin111001010111101011…
…0100100100100000100
3102210000002102222020021
41302233112210210010
54004303424422040
6132333041144524
711621015224540
oct1625726444404
9383002388207
10123201014020
1148281840357
121ba6392b144
13b80541c5c6
145d6a516a20
15331100424a
hex1caf5a4904

123201014020 has 144 divisors (see below), whose sum is σ = 303878308608. Its totient is φ = 41096851200.

The previous prime is 123201013993. The next prime is 123201014033. The reversal of 123201014020 is 20410102321.

It is a junction number, because it is equal to n+sod(n) for n = 123201013985 and 123201014003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49220089 + ... + 49222591.

It is an arithmetic number, because the mean of its divisors is an integer number (2110266032).

Almost surely, 2123201014020 is an apocalyptic number.

123201014020 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 123201014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151939154304).

123201014020 is an abundant number, since it is smaller than the sum of its proper divisors (180677294588).

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

123201014020 is a wasteful number, since it uses less digits than its factorization.

123201014020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2677 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 123201014020 its reverse (20410102321), we get a palindrome (143611116341).

The spelling of 123201014020 in words is "one hundred twenty-three billion, two hundred one million, fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 101 118 140 202 236 295 404 413 505 590 707 826 1010 1180 1414 1652 2020 2065 2503 2828 3481 3535 4130 5006 5959 6962 7070 8260 10012 11918 12515 13924 14140 17405 17521 23836 24367 25030 29795 34810 35042 41713 48734 50060 59590 69620 70084 83426 87605 97468 119180 121835 147677 166852 175210 208565 243670 252803 295354 350420 351581 417130 487340 505606 590708 703162 738385 834260 1011212 1033739 1264015 1406324 1476770 1757905 1769621 2067478 2461067 2528030 2953540 3515810 3539242 4134956 4922134 5056060 5168695 7031620 7078484 8712943 8848105 9844268 10337390 12305335 14915377 17425886 17696210 20674780 24610670 29830754 34851772 35392420 43564715 49221340 59661508 60990601 74576885 87129430 104407639 121981202 149153770 174258860 208815278 243962404 298307540 304953005 417630556 522038195 609906010 880007243 1044076390 1219812020 1760014486 2088152780 3520028972 4400036215 6160050701 8800072430 12320101402 17600144860 24640202804 30800253505 61600507010 123201014020