Search a number
-
+
1012222211200 = 2752419754939
BaseRepresentation
bin11101011101011010010…
…01010011010010000000
310120202201111200002021221
432232231021103102000
5113041012341224300
62053001454524424
7133062544555564
oct16565511232200
93522644602257
101012222211200
11360310060092
12144213206714
13745b5493385
1436dc57896a4
151b4e477c31a
hexebad253480

1012222211200 has 96 divisors (see below), whose sum is σ = 2506476294000. Its totient is φ = 403922027520.

The previous prime is 1012222211149. The next prime is 1012222211219. The reversal of 1012222211200 is 21122222101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 963331 + ... + 1718269.

Almost surely, 21012222211200 is an apocalyptic number.

1012222211200 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 1012222211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253238147000).

1012222211200 is an abundant number, since it is smaller than the sum of its proper divisors (1494254082800).

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

1012222211200 is an equidigital number, since it uses as much as digits as its factorization.

1012222211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755382 (or 755365 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1012222211200 its reverse (21122222101), we get a palindrome (1033344433301).

The spelling of 1012222211200 in words is "one trillion, twelve billion, two hundred twenty-two million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 419 640 800 838 1600 1676 2095 3200 3352 4190 6704 8380 10475 13408 16760 20950 26816 33520 41900 53632 67040 83800 134080 167600 268160 335200 670400 754939 1340800 1509878 3019756 3774695 6039512 7549390 12079024 15098780 18873475 24158048 30197560 37746950 48316096 60395120 75493900 96632192 120790240 150987800 241580480 301975600 316319441 483160960 603951200 632638882 1207902400 1265277764 1581597205 2415804800 2530555528 3163194410 5061111056 6326388820 7907986025 10122222112 12652777640 15815972050 20244444224 25305555280 31631944100 40488888448 50611110560 63263888200 101222221120 126527776400 202444442240 253055552800 506111105600 1012222211200