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125122029768 = 2332416872
BaseRepresentation
bin111010010000111011…
…0101010100011001000
3102221221222011200102200
41310201312222203020
54022222214423033
6133251423200200
712016432463541
oct1644166524310
9387858150380
10125122029768
114907813a97a
12202bb146060
13ba50400a08
1460ad6d14c8
1533c49b4013
hex1d21daa8c8

125122029768 has 36 divisors (see below), whose sum is σ = 338880293115. Its totient is φ = 41706342768.

The previous prime is 125122029691. The next prime is 125122029839. The reversal of 125122029768 is 867920221521.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 62561014884 + 62561014884 = 250122^2 + 250122^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=250122.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2980621 + ... + 3022307.

Almost surely, 2125122029768 is an apocalyptic number.

125122029768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

125122029768 is an abundant number, since it is smaller than the sum of its proper divisors (213758263347).

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

125122029768 is an frugal number, since it uses more digits than its factorization.

125122029768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83386 (or 41692 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 125122029768 in words is "one hundred twenty-five billion, one hundred twenty-two million, twenty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 41687 83374 125061 166748 250122 333496 375183 500244 750366 1000488 1500732 3001464 1737805969 3475611938 5213417907 6951223876 10426835814 13902447752 15640253721 20853671628 31280507442 41707343256 62561014884 125122029768