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123233402040 = 233571131797253
BaseRepresentation
bin111001011000101001…
…0000111110010111000
3102210002100101110020120
41302301102013302320
54004340222331130
6132340155253240
711621560430340
oct1626122076270
9383070343216
10123233402040
1148299051a11
121ba7274a220
13b80c04c508
145d70947d20
153313ca0910
hex1cb1487cb8

123233402040 has 256 divisors, whose sum is σ = 428693990400. Its totient is φ = 27758567424.

The previous prime is 123233402029. The next prime is 123233402041. The reversal of 123233402040 is 40204332321.

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

It is a self number, because there is not a number n which added to its sum of digits gives 123233402040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123233402041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16987054 + ... + 16994306.

It is an arithmetic number, because the mean of its divisors is an integer number (1674585900).

Almost surely, 2123233402040 is an apocalyptic number.

123233402040 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 123233402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214346995200).

123233402040 is an abundant number, since it is smaller than the sum of its proper divisors (305460588360).

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

123233402040 is a wasteful number, since it uses less digits than its factorization.

123233402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7566 (or 7562 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 123233402040 its reverse (40204332321), we get a palindrome (163437734361).

The spelling of 123233402040 in words is "one hundred twenty-three billion, two hundred thirty-three million, four hundred two thousand, forty".