162125124000 has 960 divisors, whose sum is σ = 658034762112. Its totient is φ = 34771968000.

The previous prime is 162125123969. The next prime is 162125124053. The reversal of 162125124000 is 421521261.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 489803835 + ... + 489804165.

Almost surely, 2^162125124000 is an apocalyptic number.

162125124000 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 162125124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329017381056).

162125124000 is an abundant number, since it is smaller than the sum of its proper divisors (495909638112).

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

162125124000 is an equidigital number, since it uses as much as digits as its factorization.

162125124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 162125124000 its reverse (421521261), we get a palindrome (162546645261).

The spelling of 162125124000 in words is "one hundred sixty-two billion, one hundred twenty-five million, one hundred twenty-four thousand".