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12023233001010 = 23257118389206813
BaseRepresentation
bin1010111011110110000010…
…0010000011011000110010
31120120102001210001211200100
42232331200202003120302
53033442040122013020
641323221425533230
72350435631164230
oct256754042033062
946512053054610
1012023233001010
11391602a647390
1214222244a4216
13692a2ab1bc6a
142d7cdb3dd950
1515cb42907a90
hexaef60883632

12023233001010 has 192 divisors, whose sum is σ = 38978846749440. Its totient is φ = 2498024240640.

The previous prime is 12023233000979. The next prime is 12023233001063. The reversal of 12023233001010 is 1010033232021.

12023233001010 is a `hidden beast` number, since 1 + 2 + 0 + 232 + 330 + 0 + 101 + 0 = 666.

It is a super-2 number, since 2×120232330010102 (a number of 27 digits) contains 22 as substring.

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

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, 58032364 + ... + 58239176.

It is an arithmetic number, because the mean of its divisors is an integer number (203014826820).

Almost surely, 212023233001010 is an apocalyptic number.

12023233001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023233001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19489423374720).

12023233001010 is an abundant number, since it is smaller than the sum of its proper divisors (26955613748430).

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

12023233001010 is a wasteful number, since it uses less digits than its factorization.

12023233001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215233 (or 215230 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12023233001010 its reverse (1010033232021), we get a palindrome (13033266233031).

The spelling of 12023233001010 in words is "twelve trillion, twenty-three billion, two hundred thirty-three million, one thousand, ten".