Search a number
-
+
122221139200 = 285219097053
BaseRepresentation
bin111000111010011110…
…0101001010100000000
3102200110210122011200021
41301310330221110000
54000302102423300
6132051515103224
711554516353616
oct1616474512400
9380423564607
10122221139200
1147919712956
121b82b741b14
13b6aa40a814
145cb63276b6
1532a4e9ad1a
hex1c74f29500

122221139200 has 54 divisors (see below), whose sum is σ = 302516432414. Its totient is φ = 48888453120.

The previous prime is 122221139191. The next prime is 122221139233. The reversal of 122221139200 is 2931122221.

It can be written as a sum of positive squares in 3 ways, for example, as 12166144 + 122208973056 = 3488^2 + 349584^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9542127 + ... + 9554926.

Almost surely, 2122221139200 is an apocalyptic number.

122221139200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221139200 is an abundant number, since it is smaller than the sum of its proper divisors (180295293214).

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

122221139200 is an equidigital number, since it uses as much as digits as its factorization.

122221139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19097079 (or 19097060 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 122221139200 in words is "one hundred twenty-two billion, two hundred twenty-one million, one hundred thirty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 19097053 38194106 76388212 95485265 152776424 190970530 305552848 381941060 477426325 611105696 763882120 954852650 1222211392 1527764240 1909705300 2444422784 3055528480 3819410600 4888845568 6111056960 7638821200 12222113920 15277642400 24444227840 30555284800 61110569600 122221139200