1020125184000 has 1088 divisors, whose sum is σ = 3810680659968. Its totient is φ = 240648192000.

The previous prime is 1020125183999. The next prime is 1020125184037. The reversal of 1020125184000 is 4815210201.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9904127949 + ... + 9904128051.

Almost surely, 2^{1020125184000} is an apocalyptic number.

1020125184000 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 1020125184000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905340329984).

1020125184000 is an abundant number, since it is smaller than the sum of its proper divisors (2790555475968).

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

1020125184000 is an equidigital number, since it uses as much as digits as its factorization.

1020125184000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The spelling of 1020125184000 in words is "one trillion, twenty billion, one hundred twenty-five million, one hundred eighty-four thousand".