Search a number
-
+
122200231200 = 2535250916763
BaseRepresentation
bin111000111001110110…
…0111000110100100000
3102200102100021221021220
41301303230320310200
54000231224344300
6132045451015040
711554143553425
oct1616354706440
9380370257256
10122200231200
1147908932413
121b82473a480
13b6a5c9a018
145cb3643d4c
1532a321ada0
hex1c73b38d20

122200231200 has 72 divisors (see below), whose sum is σ = 397761760368. Its totient is φ = 32586727680.

The previous prime is 122200231183. The next prime is 122200231271. The reversal of 122200231200 is 2132002221.

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 122200231200.

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, 25455982 + ... + 25460781.

It is an arithmetic number, because the mean of its divisors is an integer number (5524468894).

Almost surely, 2122200231200 is an apocalyptic number.

122200231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200231200 is an abundant number, since it is smaller than the sum of its proper divisors (275561529168).

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

122200231200 is a wasteful number, since it uses less digits than its factorization.

122200231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50916786 (or 50916773 counting only the distinct ones).

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

Adding to 122200231200 its reverse (2132002221), we get a palindrome (124332233421).

The spelling of 122200231200 in words is "one hundred twenty-two billion, two hundred million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 50916763 101833526 152750289 203667052 254583815 305500578 407334104 509167630 611001156 763751445 814668208 1018335260 1222002312 1272919075 1527502890 1629336416 2036670520 2444004624 2545838150 3055005780 3818757225 4073341040 4888009248 5091676300 6110011560 7637514450 8146682080 10183352600 12220023120 15275028900 20366705200 24440046240 30550057800 40733410400 61100115600 122200231200