Search a number
-
+
122005443252 = 2237111277103399
BaseRepresentation
bin111000110100000010…
…1110101001010110100
3102122220202202200110110
41301220011311022310
53444331343141002
6132014252023020
711546260104510
oct1615005651264
9378822680413
10122005443252
114781898a340
121b78b461a70
13b674819194
145c9581b140
153291090e6c
hex1c681752b4

122005443252 has 96 divisors (see below), whose sum is σ = 355206297600. Its totient is φ = 31664603520.

The previous prime is 122005443233. The next prime is 122005443257. The reversal of 122005443252 is 252344500221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122005443257) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1128249 + ... + 1231647.

It is an arithmetic number, because the mean of its divisors is an integer number (3700065600).

Almost surely, 2122005443252 is an apocalyptic number.

122005443252 is a gapful number since it is divisible by the number (12) 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 122005443252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177603148800).

122005443252 is an abundant number, since it is smaller than the sum of its proper divisors (233200854348).

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

122005443252 is a wasteful number, since it uses less digits than its factorization.

122005443252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104701 (or 104699 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 122005443252 its reverse (252344500221), we get a palindrome (374349943473).

The spelling of 122005443252 in words is "one hundred twenty-two billion, five million, four hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 1277 2554 3831 5108 7662 8939 14047 15324 17878 26817 28094 35756 42141 53634 56188 84282 98329 103399 107268 168564 196658 206798 294987 310197 393316 413596 589974 620394 723793 1137389 1179948 1240788 1447586 2171379 2274778 2895172 3412167 4342758 4549556 6824334 7961723 8685516 13648668 15923446 23885169 31846892 47770338 95540676 132040523 264081046 396121569 528162092 792243138 924283661 1452445753 1584486276 1848567322 2772850983 2904891506 3697134644 4357337259 5545701966 5809783012 8714674518 10167120271 11091403932 17429349036 20334240542 30501360813 40668481084 61002721626 122005443252