1203945120 has 480 divisors, whose sum is σ = 5075820288. Its totient is φ = 262766592.

The previous prime is 1203945107. The next prime is 1203945131. The reversal of 1203945120 is 215493021.

1203945120 is a `hidden beast` number, since 1 + 203 + 9 + 451 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2086272 + ... + 2086848.

Almost surely, 2^1203945120 is an apocalyptic number.

1203945120 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 1203945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537910144).

1203945120 is an abundant number, since it is smaller than the sum of its proper divisors (3871875168).

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

1203945120 is a wasteful number, since it uses less digits than its factorization.

1203945120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1203945120 is about 34697.9123291301. The cubic root of 1203945120 is about 1063.8218274405.

The spelling of 1203945120 in words is "one billion, two hundred three million, nine hundred forty-five thousand, one hundred twenty".