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122568673020 = 2235231992291949
BaseRepresentation
bin111001000100110101…
…0011000011011111100
3102201101000120201110020
41302021222120123330
54002010040014040
6132150212012140
711566236350013
oct1621152303374
9381330521406
10122568673020
1147a87903192
121b908001050
13b73440c331
145d0a551a7a
1532c5748cd0
hex1c89a986fc

122568673020 has 192 divisors, whose sum is σ = 361670400000. Its totient is φ = 30955060224.

The previous prime is 122568673001. The next prime is 122568673027. The reversal of 122568673020 is 20376865221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122568673027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62887006 + ... + 62888954.

It is an arithmetic number, because the mean of its divisors is an integer number (1883700000).

Almost surely, 2122568673020 is an apocalyptic number.

122568673020 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 122568673020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180835200000).

122568673020 is an abundant number, since it is smaller than the sum of its proper divisors (239101726980).

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

122568673020 is a wasteful number, since it uses less digits than its factorization.

122568673020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 122568673020 in words is "one hundred twenty-two billion, five hundred sixty-eight million, six hundred seventy-three thousand, twenty".