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12028315200 = 26352113747131
BaseRepresentation
bin10110011001111000…
…11000011001000000
31011001021101201111120
423030330120121000
5144113222041300
65305320312240
7604033664226
oct131474303100
934037351446
1012028315200
115112741270
1223b8312680
131198c99995
148216acb16
154a5eb53a0
hex2ccf18640

12028315200 has 672 divisors, whose sum is σ = 45499373568. Its totient is φ = 2755584000.

The previous prime is 12028315157. The next prime is 12028315241. The reversal of 12028315200 is 251382021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91819135 + ... + 91819265.

Almost surely, 212028315200 is an apocalyptic number.

12028315200 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 12028315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22749686784).

12028315200 is an abundant number, since it is smaller than the sum of its proper divisors (33471058368).

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

12028315200 is a wasteful number, since it uses less digits than its factorization.

12028315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 12028315200 its reverse (251382021), we get a palindrome (12279697221).

The spelling of 12028315200 in words is "twelve billion, twenty-eight million, three hundred fifteen thousand, two hundred".