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123234220032 = 2113711260489
BaseRepresentation
bin111001011000101010…
…1001111100000000000
3102210002101221000022120
41302301111033200000
54004340430020112
6132340225004240
711621600405220
oct1626125174000
9383071830276
10123234220032
1148299560540
121ba72a83680
13b80c277931
145d70abc080
153313db2e8c
hex1cb154f800

123234220032 has 192 divisors, whose sum is σ = 409615315200. Its totient is φ = 32008765440.

The previous prime is 123234219943. The next prime is 123234220061. The reversal of 123234220032 is 230022432321.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 123234219984 and 123234220011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342844 + ... + 603332.

It is an arithmetic number, because the mean of its divisors is an integer number (2133413100).

Almost surely, 2123234220032 is an apocalyptic number.

123234220032 is a gapful number since it is divisible by the number (12) 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 123234220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204807657600).

123234220032 is an abundant number, since it is smaller than the sum of its proper divisors (286381095168).

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

123234220032 is a wasteful number, since it uses less digits than its factorization.

123234220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260532 (or 260512 counting only the distinct ones).

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

Adding to 123234220032 its reverse (230022432321), we get a palindrome (353256652353).

The spelling of 123234220032 in words is "one hundred twenty-three billion, two hundred thirty-four million, two hundred twenty thousand, thirty-two".