Search a number
-
+
122351240000 = 265411278071
BaseRepresentation
bin111000111110010110…
…0111100001101000000
3102200210212102222102102
41301330230330031000
54001033404140000
6132112443405532
711560656244343
oct1617454741500
9380725388372
10122351240000
11479860a3580
121b8672238a8
13b6cb360142
145cc971245a
1532b15e93d5
hex1c7cb3c340

122351240000 has 140 divisors (see below), whose sum is σ = 330973529568. Its totient is φ = 44491200000.

The previous prime is 122351239981. The next prime is 122351240003. The reversal of 122351240000 is 42153221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122351240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 300965 + ... + 579035.

Almost surely, 2122351240000 is an apocalyptic number.

122351240000 is a gapful number since it is divisible by the number (10) 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 122351240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165486764784).

122351240000 is an abundant number, since it is smaller than the sum of its proper divisors (208622289568).

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

122351240000 is an equidigital number, since it uses as much as digits as its factorization.

122351240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278114 (or 278089 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 122351240000 its reverse (42153221), we get a palindrome (122393393221).

The spelling of 122351240000 in words is "one hundred twenty-two billion, three hundred fifty-one million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 40000 44000 55000 88000 110000 220000 278071 440000 556142 1112284 1390355 2224568 2780710 3058781 4449136 5561420 6117562 6951775 8898272 11122840 12235124 13903550 15293905 17796544 22245680 24470248 27807100 30587810 34758875 44491360 48940496 55614200 61175620 69517750 76469525 88982720 97880992 111228400 122351240 139035500 152939050 173794375 195761984 222456800 244702480 278071000 305878100 347588750 382347625 444913600 489404960 556142000 611756200 695177500 764695250 978809920 1112284000 1223512400 1390355000 1529390500 1911738125 2224568000 2447024800 2780710000 3058781000 3823476250 4894049600 5561420000 6117562000 7646952500 11122840000 12235124000 15293905000 24470248000 30587810000 61175620000 122351240000