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12120000001200 = 243252721337831721
BaseRepresentation
bin1011000001011110100001…
…0010110111010010110000
31120220122211122020202221100
42300113220102313102300
53042033230000014300
641435503502324400
72360432620131300
oct260275022672260
946818748222840
1012120000001200
11395307703a913
121438b2b589700
1369bbac8a7660
142dc87ad25600
15160407dc6700
hexb05e84b74b0

12120000001200 has 2160 divisors, whose sum is σ = 54798120258336. Its totient is φ = 2456668569600.

The previous prime is 12120000001183. The next prime is 12120000001217. The reversal of 12120000001200 is 210000002121.

It is an interprime number because it is at equal distance from previous prime (12120000001183) and next prime (12120000001217).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7042416340 + ... + 7042418060.

Almost surely, 212120000001200 is an apocalyptic number.

12120000001200 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 12120000001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27399060129168).

12120000001200 is an abundant number, since it is smaller than the sum of its proper divisors (42678120257136).

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

12120000001200 is a wasteful number, since it uses less digits than its factorization.

12120000001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1871 counting only the distinct ones).

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

Adding to 12120000001200 its reverse (210000002121), we get a palindrome (12330000003321).

The spelling of 12120000001200 in words is "twelve trillion, one hundred twenty billion, one thousand, two hundred".