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12258021888 = 2932722332
BaseRepresentation
bin10110110101010001…
…01001001000000000
31011122021122000211200
423122220221020000
5200101023200023
65344203541200
7612523316100
oct133250511000
934567560750
1012258021888
115220374302
12246122a800
1312047555b8
14843dc5200
154bb23b743
hex2daa29200

12258021888 has 270 divisors, whose sum is σ = 41330778489. Its totient is φ = 3487260672.

The previous prime is 12258021883. The next prime is 12258021889. The reversal of 12258021888 is 88812085221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11060308224 + 1197713664 = 105168^2 + 34608^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=78288.

It is not an unprimeable number, because it can be changed into a prime (12258021883) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52609420 + ... + 52609652.

Almost surely, 212258021888 is an apocalyptic number.

12258021888 is a gapful number since it is divisible by the number (18) 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 12258021888

12258021888 is an abundant number, since it is smaller than the sum of its proper divisors (29072756601).

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

12258021888 is an frugal number, since it uses more digits than its factorization.

12258021888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 45.

The spelling of 12258021888 in words is "twelve billion, two hundred fifty-eight million, twenty-one thousand, eight hundred eighty-eight".