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123022020000 = 2535411186397
BaseRepresentation
bin111001010010010101…
…1110000110110100000
3102202112121122010121010
41302210223300312200
54003422114120000
6132303204500520
711613412626225
oct1624453606640
9382477563533
10123022020000
114819a7a5510
121ba139aa740
13b7a730b599
145d5084194c
153300448d50
hex1ca4af0da0

123022020000 has 240 divisors, whose sum is σ = 440224358112. Its totient is φ = 29823360000.

The previous prime is 123022019963. The next prime is 123022020001. The reversal of 123022020000 is 20220321.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (123022020001) 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 39 ways as a sum of consecutive naturals, for example, 566802 + ... + 753198.

Almost surely, 2123022020000 is an apocalyptic number.

123022020000 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 123022020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220112179056).

123022020000 is an abundant number, since it is smaller than the sum of its proper divisors (317202338112).

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

123022020000 is a wasteful number, since it uses less digits than its factorization.

123022020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186441 (or 186418 counting only the distinct ones).

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

Adding to 123022020000 its reverse (20220321), we get a palindrome (123042240321).

It can be divided in two parts, 12302 and 2020000, that added together give a palindrome (2032302).

The spelling of 123022020000 in words is "one hundred twenty-three billion, twenty-two million, twenty thousand".