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12252021120 = 2735578781
BaseRepresentation
bin10110110100100011…
…10000000110000000
31011121212100011100000
423122101300012000
5200043004133440
65343431200000
7612421314123
oct133221600600
934555304300
1012252021120
115217a45899
12245b216000
131203434151
148432a23ba
154ba953730
hex2da470180

12252021120 has 192 divisors, whose sum is σ = 43875271440. Its totient is φ = 3267164160.

The previous prime is 12252021109. The next prime is 12252021157. The reversal of 12252021120 is 2112025221.

12252021120 is a `hidden beast` number, since 1 + 2 + 2 + 520 + 21 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×122520211202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12252021093 and 12252021102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116130 + ... + 194910.

Almost surely, 212252021120 is an apocalyptic number.

12252021120 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 12252021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21937635720).

12252021120 is an abundant number, since it is smaller than the sum of its proper divisors (31623250320).

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

12252021120 is an frugal number, since it uses more digits than its factorization.

12252021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78815 (or 78791 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12252021120 its reverse (2112025221), we get a palindrome (14364046341).

The spelling of 12252021120 in words is "twelve billion, two hundred fifty-two million, twenty-one thousand, one hundred twenty".