12148535520 has 720 divisors, whose sum is σ = 48275910144. Its totient is φ = 2874009600.

The previous prime is 12148535507. The next prime is 12148535537. The reversal of 12148535520 is 2553584121.

12148535520 is a `hidden beast` number, since 1 + 21 + 4 + 85 + 3 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95657697 + ... + 95657823.

Almost surely, 2^12148535520 is an apocalyptic number.

12148535520 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 12148535520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24137955072).

12148535520 is an abundant number, since it is smaller than the sum of its proper divisors (36127374624).

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

12148535520 is a wasteful number, since it uses less digits than its factorization.

12148535520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 12148535520 in words is "twelve billion, one hundred forty-eight million, five hundred thirty-five thousand, five hundred twenty".