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123421311040 = 2651726719919
BaseRepresentation
bin111001011110001111…
…0111100000001000000
3102210120102222012221011
41302330132330001000
54010231323423130
6132410551010304
711626331556106
oct1627436740100
9383512865834
10123421311040
1148385126805
121bb05669994
13b83bc62281
145d8b89dc76
15332551c52a
hex1cbc7bc040

123421311040 has 168 divisors, whose sum is σ = 316877639040. Its totient is φ = 45768695808.

The previous prime is 123421311031. The next prime is 123421311047. The reversal of 123421311040 is 40113124321.

It is not an unprimeable number, because it can be changed into a prime (123421311047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6186201 + ... + 6206119.

Almost surely, 2123421311040 is an apocalyptic number.

123421311040 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 123421311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158438819520).

123421311040 is an abundant number, since it is smaller than the sum of its proper divisors (193456328000).

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

123421311040 is a wasteful number, since it uses less digits than its factorization.

123421311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20037 (or 20010 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 123421311040 its reverse (40113124321), we get a palindrome (163534435361).

The spelling of 123421311040 in words is "one hundred twenty-three billion, four hundred twenty-one million, three hundred eleven thousand, forty".