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125125442400 = 253527191133469
BaseRepresentation
bin111010010001000001…
…1101011101101100000
3102221222012121001200110
41310202003223231200
54022224103124100
6133252024251320
712016503466110
oct1644203535540
9387865531613
10125125442400
114907a060932
1220300310b40
13ba5102711a
1460add3d040
1533c4e3a250
hex1d220ebb60

125125442400 has 576 divisors, whose sum is σ = 494443353600. Its totient is φ = 26847313920.

The previous prime is 125125442357. The next prime is 125125442471. The reversal of 125125442400 is 4244521521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 36067866 + ... + 36071334.

It is an arithmetic number, because the mean of its divisors is an integer number (858408600).

Almost surely, 2125125442400 is an apocalyptic number.

125125442400 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 125125442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247221676800).

125125442400 is an abundant number, since it is smaller than the sum of its proper divisors (369317911200).

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

125125442400 is a wasteful number, since it uses less digits than its factorization.

125125442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 125125442400 its reverse (4244521521), we get a palindrome (129369963921).

The spelling of 125125442400 in words is "one hundred twenty-five billion, one hundred twenty-five million, four hundred forty-two thousand, four hundred".