Search a number
-
+
120201000012 = 223237109827899
BaseRepresentation
bin110111111110010001…
…0011011010001001100
3102111021000101110200100
41233330202123101030
53432132424000022
6131115232331100
711453456433162
oct1577442332114
9374230343610
10120201000012
1146a82370435
121b3670a3a90
13b447a318a2
145b63d09232
1531d795b1ac
hex1bfc89b44c

120201000012 has 72 divisors (see below), whose sum is σ = 314916602000. Its totient is φ = 38626409088.

The previous prime is 120200999981. The next prime is 120201000013. The reversal of 120201000012 is 210000102021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120200999958 and 120201000003.

It is not an unprimeable number, because it can be changed into a prime (120201000013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268762 + ... + 559137.

Almost surely, 2120201000012 is an apocalyptic number.

120201000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120201000012 is an abundant number, since it is smaller than the sum of its proper divisors (194715601988).

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

120201000012 is a wasteful number, since it uses less digits than its factorization.

120201000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828055 (or 828050 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120201000012 its reverse (210000102021), we get a palindrome (330201102033).

The spelling of 120201000012 in words is "one hundred twenty billion, two hundred one million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 37 74 109 111 148 218 222 327 333 436 444 654 666 981 1308 1332 1962 3924 4033 8066 12099 16132 24198 36297 48396 72594 145188 827899 1655798 2483697 3311596 4967394 7451091 9934788 14902182 29804364 30632263 61264526 90240991 91896789 122529052 180481982 183793578 270722973 275690367 360963964 367587156 541445946 551380734 812168919 1082891892 1102761468 1624337838 3248675676 3338916667 6677833334 10016750001 13355666668 20033500002 30050250003 40067000004 60100500006 120201000012