202029120 has 224 divisors, whose sum is σ = 725424000. Its totient is φ = 52918272.

The previous prime is 202029097. The next prime is 202029127. The reversal of 202029120 is 21920202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202029093 and 202029102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202029127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578706 + ... + 579054.

It is an arithmetic number, because the mean of its divisors is an integer number (3238500).

Almost surely, 2^202029120 is an apocalyptic number.

202029120 is a gapful number since it is divisible by the number (20) 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 202029120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362712000).

202029120 is an abundant number, since it is smaller than the sum of its proper divisors (523394880).

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

202029120 is a wasteful number, since it uses less digits than its factorization.

202029120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 202029120 is about 14213.6948046593. The cubic root of 202029120 is about 586.7746243015.

Adding to 202029120 its reverse (21920202), we get a palindrome (223949322).

The spelling of 202029120 in words is "two hundred two million, twenty-nine thousand, one hundred twenty".