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123420501200 = 2452769401237
BaseRepresentation
bin111001011110001101…
…1110110010011010000
3102210120101110002001002
41302330123312103100
54010231122014300
6132410521401132
711626321644053
oct1627433662320
9383511402032
10123420501200
1148384723317
121bb053391a8
13b83ba3a789
145d8b72ca9a
15332540c5d5
hex1cbc6f64d0

123420501200 has 60 divisors (see below), whose sum is σ = 296904082860. Its totient is φ = 49303879680.

The previous prime is 123420501157. The next prime is 123420501203. The reversal of 123420501200 is 2105024321.

It can be written as a sum of positive squares in 6 ways, for example, as 2244106384 + 121176394816 = 47372^2 + 348104^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123420501203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106982 + ... + 508218.

It is an arithmetic number, because the mean of its divisors is an integer number (4948401381).

Almost surely, 2123420501200 is an apocalyptic number.

123420501200 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 123420501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148452041430).

123420501200 is an abundant number, since it is smaller than the sum of its proper divisors (173483581660).

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

123420501200 is a wasteful number, since it uses less digits than its factorization.

123420501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402024 (or 402013 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 123420501200 its reverse (2105024321), we get a palindrome (125525525521).

The spelling of 123420501200 in words is "one hundred twenty-three billion, four hundred twenty million, five hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 769 1538 3076 3845 6152 7690 12304 15380 19225 30760 38450 61520 76900 153800 307600 401237 802474 1604948 2006185 3209896 4012370 6419792 8024740 10030925 16049480 20061850 32098960 40123700 80247400 160494800 308551253 617102506 1234205012 1542756265 2468410024 3085512530 4936820048 6171025060 7713781325 12342050120 15427562650 24684100240 30855125300 61710250600 123420501200