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123420000000 = 2835711217
BaseRepresentation
bin111001011110001100…
…1111011111100000000
3102210120100111121112010
41302330121323330000
54010231010000000
6132410502532520
711626314455613
oct1627431737400
9383510447463
10123420000000
1148384410800
121bb05137140
13b83b8c35cb
145d8b63c17a
15332535dd50
hex1cbc67bf00

123420000000 has 864 divisors, whose sum is σ = 477863620416. Its totient is φ = 28160000000.

The previous prime is 123419999977. The next prime is 123420000007. The reversal of 123420000000 is 24321.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123420000007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7259999992 + ... + 7260000008.

It is an arithmetic number, because the mean of its divisors is an integer number (553082894).

Almost surely, 2123420000000 is an apocalyptic number.

123420000000 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 123420000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238931810208).

123420000000 is an abundant number, since it is smaller than the sum of its proper divisors (354443620416).

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

123420000000 is an frugal number, since it uses more digits than its factorization.

123420000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 123420000000 its reverse (24321), we get a palindrome (123420024321).

The spelling of 123420000000 in words is "one hundred twenty-three billion, four hundred twenty million", and thus it is an aban number.