1004122132000 has 384 divisors, whose sum is σ = 2847480749568. Its totient is φ = 345033216000.

The previous prime is 1004122131953. The next prime is 1004122132009. The reversal of 1004122132000 is 2312214001.

1004122132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1004122132000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1004122132009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44240655 + ... + 44263345.

It is an arithmetic number, because the mean of its divisors is an integer number (7415314452).

Almost surely, 2^{1004122132000} is an apocalyptic number.

1004122132000 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 1004122132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423740374784).

1004122132000 is an abundant number, since it is smaller than the sum of its proper divisors (1843358617568).

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

1004122132000 is a wasteful number, since it uses less digits than its factorization.

1004122132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22789 (or 22771 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1004122132000 its reverse (2312214001), we get a palindrome (1006434346001).

The spelling of 1004122132000 in words is "one trillion, four billion, one hundred twenty-two million, one hundred thirty-two thousand".