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103232120121200 = 2452771215177449
BaseRepresentation
bin10111011110001110011001…
…110110010110011101110000
3111112111220010221112201010202
4113132032121312112131300
5102012323340222334300
61003320103054014332
730513163112651510
oct2736163166263560
9445456127481122
10103232120121200
112a990550609564
12b6b30b01a73a8
13457a993671595
141b6c665a3b840
15be04872a0ad5
hex5de399d96770

103232120121200 has 120 divisors (see below), whose sum is σ = 283485765943200. Its totient is φ = 35388892569600.

The previous prime is 103232120121157. The next prime is 103232120121253. The reversal of 103232120121200 is 2121021232301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17350076 + ... + 22527524.

It is an arithmetic number, because the mean of its divisors is an integer number (2362381382860).

Almost surely, 2103232120121200 is an apocalyptic number.

103232120121200 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 103232120121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141742882971600).

103232120121200 is an abundant number, since it is smaller than the sum of its proper divisors (180253645822000).

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

103232120121200 is a wasteful number, since it uses less digits than its factorization.

103232120121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184595 (or 5184584 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 103232120121200 its reverse (2121021232301), we get a palindrome (105353141353501).

The spelling of 103232120121200 in words is "one hundred three trillion, two hundred thirty-two billion, one hundred twenty million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 7121 14242 28484 35605 49847 56968 71210 99694 113936 142420 178025 199388 249235 284840 356050 398776 498470 569680 712100 797552 996940 1246175 1424200 1993880 2492350 2848400 3987760 4984700 5177449 9969400 10354898 19938800 20709796 25887245 36242143 41419592 51774490 72484286 82839184 103548980 129436225 144968572 181210715 207097960 258872450 289937144 362421430 414195920 517744900 579874288 724842860 906053575 1035489800 1449685720 1812107150 2070979600 2899371440 3624214300 7248428600 14496857200 36868614329 73737228658 147474457316 184343071645 258080300303 294948914632 368686143290 516160600606 589897829264 737372286580 921715358225 1032321201212 1290401501515 1474744573160 1843430716450 2064642402424 2580803003030 2949489146320 3686861432900 4129284804848 5161606006060 6452007507575 7373722865800 10323212012120 12904015015150 14747445731600 20646424024240 25808030030300 51616060060600 103232120121200