Search a number
-
+
120132212424 = 23373719326289
BaseRepresentation
bin110111111100001110…
…0000001011011001000
3102111002012221200211220
41233320130001123020
53432012321244144
6131104334122040
711451662646240
oct1577034013310
9374065850756
10120132212424
1146a47558294
121b348050320
13b4366c8b83
145b58b20b20
1531d18be919
hex1bf87016c8

120132212424 has 64 divisors (see below), whose sum is σ = 352511529600. Its totient is φ = 33395825664.

The previous prime is 120132212423. The next prime is 120132212441. The reversal of 120132212424 is 424212231021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 120132212394 and 120132212403.

It is not an unprimeable number, because it can be changed into a prime (120132212423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9656929 + ... + 9669360.

It is an arithmetic number, because the mean of its divisors is an integer number (5507992650).

Almost surely, 2120132212424 is an apocalyptic number.

120132212424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

120132212424 is an abundant number, since it is smaller than the sum of its proper divisors (232379317176).

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

120132212424 is a wasteful number, since it uses less digits than its factorization.

120132212424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19326342 (or 19326338 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 120132212424 its reverse (424212231021), we get a palindrome (544344443445).

The spelling of 120132212424 in words is "one hundred twenty billion, one hundred thirty-two million, two hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 19326289 38652578 57978867 77305156 115957734 135284023 154610312 231915468 270568046 405852069 463830936 541136092 715072693 811704138 1082272184 1430145386 1623408276 2145218079 2860290772 3246816552 4290436158 5005508851 5720581544 8580872316 10011017702 15016526553 17161744632 20022035404 30033053106 40044070808 60066106212 120132212424