403000213120 has 128 divisors (see below), whose sum is σ = 974760123600. Its totient is φ = 159309004800.

The previous prime is 403000213111. The next prime is 403000213129. The reversal of 403000213120 is 21312000304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (403000213111) and next prime (403000213129).

It can be written as a sum of positive squares in 8 ways, for example, as 241646963776 + 161353249344 = 491576^2 + 401688^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 403000213094 and 403000213103.

It is not an unprimeable number, because it can be changed into a prime (403000213129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36774682 + ... + 36785638.

Almost surely, 2^403000213120 is an apocalyptic number.

403000213120 is a gapful number since it is divisible by the number (40) 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 403000213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487380061800).

403000213120 is an abundant number, since it is smaller than the sum of its proper divisors (571759910480).

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

403000213120 is a wasteful number, since it uses less digits than its factorization.

403000213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11646 (or 11634 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 403000213120 its reverse (21312000304), we get a palindrome (424312213424).

The spelling of 403000213120 in words is "four hundred three billion, two hundred thirteen thousand, one hundred twenty".