Search a number
-
+
122002221022002 = 23243754315490823
BaseRepresentation
bin11011101111010111011011…
…000010111011101100110010
3120222222022001112212111022200
4123233113123002323230302
5111442341022040201002
61111251014022044030
734461240525105066
oct3357273302735462
9528868045774280
10122002221022002
11359679401a2772
1211824a20b79616
13530c9b5b73039
14221ad208adaa6
15e18857603b1c
hex6ef5db0bbb32

122002221022002 has 24 divisors (see below), whose sum is σ = 264338766753984. Its totient is φ = 40667311437144.

The previous prime is 122002221022001. The next prime is 122002221022027. The reversal of 122002221022002 is 200220122200221.

122002221022002 is a `hidden beast` number, since 1 + 220 + 0 + 2 + 221 + 0 + 220 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122002221022001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130363 + ... + 15621185.

It is an arithmetic number, because the mean of its divisors is an integer number (11014115281416).

Almost surely, 2122002221022002 is an apocalyptic number.

122002221022002 is an abundant number, since it is smaller than the sum of its proper divisors (142336545731982).

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

122002221022002 is a wasteful number, since it uses less digits than its factorization.

122002221022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15928374 (or 15928371 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 122002221022002 its reverse (200220122200221), we get a palindrome (322222343222223).

The spelling of 122002221022002 in words is "one hundred twenty-two trillion, two billion, two hundred twenty-one million, twenty-two thousand, two".

Divisors: 1 2 3 6 9 18 437543 875086 1312629 2625258 3937887 7875774 15490823 30981646 46472469 92944938 139417407 278834814 6777901167889 13555802335778 20333703503667 40667407007334 61001110511001 122002221022002