1129488003000 has 1024 divisors, whose sum is σ = 4743917568000. Its totient is φ = 242844480000.

The previous prime is 1129488002999. The next prime is 1129488003037. The reversal of 1129488003000 is 3008849211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 542239959 + ... + 542242041.

It is an arithmetic number, because the mean of its divisors is an integer number (4632732000).

Almost surely, 2^{1129488003000} is an apocalyptic number.

1129488003000 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 1129488003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371958784000).

1129488003000 is an abundant number, since it is smaller than the sum of its proper divisors (3614429565000).

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

1129488003000 is a wasteful number, since it uses less digits than its factorization.

1129488003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1129488003000 in words is "one trillion, one hundred twenty-nine billion, four hundred eighty-eight million, three thousand".