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120230122200 = 23352431464927
BaseRepresentation
bin110111111111001000…
…1100001001011011000
3102111100001012000210220
41233332101201023120
53432212402402300
6131122152440040
711454262114416
oct1577621411330
9374301160726
10120230122200
1146a97851361
121b3749a9020
13b450a8a156
145b67b2a2b6
1531da2aeda0
hex1bfe4612d8

120230122200 has 96 divisors (see below), whose sum is σ = 373578946560. Its totient is φ = 31986908800.

The previous prime is 120230122189. The next prime is 120230122267. The reversal of 120230122200 is 2221032021.

It is a happy number.

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 120230122200.

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, 26137 + ... + 491063.

It is an arithmetic number, because the mean of its divisors is an integer number (3891447360).

Almost surely, 2120230122200 is an apocalyptic number.

120230122200 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 120230122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186789473280).

120230122200 is an abundant number, since it is smaller than the sum of its proper divisors (253348824360).

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

120230122200 is a wasteful number, since it uses less digits than its factorization.

120230122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465377 (or 465368 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 120230122200 its reverse (2221032021), we get a palindrome (122451154221).

The spelling of 120230122200 in words is "one hundred twenty billion, two hundred thirty million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 431 600 862 1293 1724 2155 2586 3448 4310 5172 6465 8620 10344 10775 12930 17240 21550 25860 32325 43100 51720 64650 86200 129300 258600 464927 929854 1394781 1859708 2324635 2789562 3719416 4649270 5579124 6973905 9298540 11158248 11623175 13947810 18597080 23246350 27895620 34869525 46492700 55791240 69739050 92985400 139478100 200383537 278956200 400767074 601150611 801534148 1001917685 1202301222 1603068296 2003835370 2404602444 3005753055 4007670740 4809204888 5009588425 6011506110 8015341480 10019176850 12023012220 15028765275 20038353700 24046024440 30057530550 40076707400 60115061100 120230122200