Search a number
-
+
122211332384 = 2527311398427
BaseRepresentation
bin111000111010001011…
…1001111000100100000
3102200110010011221020212
41301310113033010200
54000242100114014
6132050524553252
711554340120411
oct1616427170440
9380403157225
10122211332384
1147914124949
121b8283b2828
13b6a8385b7b
145cb4cd3808
1532a41b023e
hex1c745cf120

122211332384 has 24 divisors (see below), whose sum is σ = 240691833648. Its totient is φ = 61083247680.

The previous prime is 122211332329. The next prime is 122211332417. The reversal of 122211332384 is 483233112221.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 122211332384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 611822 + ... + 786605.

It is an arithmetic number, because the mean of its divisors is an integer number (10028826402).

Almost surely, 2122211332384 is an apocalyptic number.

It is an amenable number.

122211332384 is a deficient number, since it is larger than the sum of its proper divisors (118480501264).

122211332384 is a wasteful number, since it uses less digits than its factorization.

122211332384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401168 (or 1401160 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The spelling of 122211332384 in words is "one hundred twenty-two billion, two hundred eleven million, three hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 2731 5462 10924 21848 43696 87392 1398427 2796854 5593708 11187416 22374832 44749664 3819104137 7638208274 15276416548 30552833096 61105666192 122211332384