Search a number
-
+
122352223440 = 24351006150671
BaseRepresentation
bin111000111110011000…
…0101100010011010000
3102200210221021221110010
41301330300230103100
54001034132122230
6132112520434520
711561000511456
oct1617460542320
9380727257403
10122352223440
1147986705437
121b867618a40
13b6cb615965
145cc98ca9d6
1532b17409b0
hex1c7cc2c4d0

122352223440 has 80 divisors (see below), whose sum is σ = 379337078016. Its totient is φ = 32623372800.

The previous prime is 122352223391. The next prime is 122352223501. The reversal of 122352223440 is 44322253221.

122352223440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 122352223398 and 122352223407.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2389305 + ... + 2439975.

Almost surely, 2122352223440 is an apocalyptic number.

122352223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122352223440 is an abundant number, since it is smaller than the sum of its proper divisors (256984854576).

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

122352223440 is a wasteful number, since it uses less digits than its factorization.

122352223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60748 (or 60742 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 122352223440 its reverse (44322253221), we get a palindrome (166674476661).

The spelling of 122352223440 in words is "one hundred twenty-two billion, three hundred fifty-two million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 10061 20122 30183 40244 50305 50671 60366 80488 100610 101342 120732 150915 152013 160976 201220 202684 241464 253355 301830 304026 402440 405368 482928 506710 603660 608052 760065 804880 810736 1013420 1207320 1216104 1520130 2026840 2414640 2432208 3040260 4053680 6080520 12161040 509800931 1019601862 1529402793 2039203724 2549004655 3058805586 4078407448 5098009310 6117611172 7647013965 8156814896 10196018620 12235222344 15294027930 20392037240 24470444688 30588055860 40784074480 61176111720 122352223440