1047121920 has 624 divisors, whose sum is σ = 4293394560. Its totient is φ = 233570304.

The previous prime is 1047121909. The next prime is 1047121931. The reversal of 1047121920 is 291217401.

1047121920 is a `hidden beast` number, since 1 + 0 + 471 + 2 + 192 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1047121909) and next prime (1047121931).

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45527029 + ... + 45527051.

It is an arithmetic number, because the mean of its divisors is an integer number (6880440).

Almost surely, 2^1047121920 is an apocalyptic number.

1047121920 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 1047121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146697280).

1047121920 is an abundant number, since it is smaller than the sum of its proper divisors (3246272640).

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

1047121920 is a wasteful number, since it uses less digits than its factorization.

1047121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1047121920 is about 32359.2632796237. The cubic root of 1047121920 is about 1015.4668498772.

The spelling of 1047121920 in words is "one billion, forty-seven million, one hundred twenty-one thousand, nine hundred twenty".