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12148848720 = 2433517373887
BaseRepresentation
bin10110101000010000…
…01011100001010000
31011100200012110102000
423110020023201100
5144340101124340
65325303554000
7610026340011
oct132410134120
934320173360
1012148848720
115174787948
12243075b900
1311b7c4c6a8
148336c7008
154b1873d30
hex2d420b850

12148848720 has 320 divisors, whose sum is σ = 44476439040. Its totient is φ = 3037519872.

The previous prime is 12148848713. The next prime is 12148848743. The reversal of 12148848720 is 2784884121.

12148848720 is a `hidden beast` number, since 1 + 2 + 148 + 8 + 487 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13696117 + ... + 13697003.

It is an arithmetic number, because the mean of its divisors is an integer number (138988872).

Almost surely, 212148848720 is an apocalyptic number.

12148848720 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 12148848720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238219520).

12148848720 is an abundant number, since it is smaller than the sum of its proper divisors (32327590320).

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

12148848720 is a wasteful number, since it uses less digits than its factorization.

12148848720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 12148848720 in words is "twelve billion, one hundred forty-eight million, eight hundred forty-eight thousand, seven hundred twenty".