353022101120 has 128 divisors (see below), whose sum is σ = 917688320640. Its totient is φ = 129080807424.

The previous prime is 353022101101. The next prime is 353022101171. The reversal of 353022101120 is 21101220353.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 353022101092 and 353022101101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 650987 + ... + 1062933.

It is an arithmetic number, because the mean of its divisors is an integer number (7169440005).

Almost surely, 2^353022101120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353022101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458844160320).

353022101120 is an abundant number, since it is smaller than the sum of its proper divisors (564666219520).

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

353022101120 is a wasteful number, since it uses less digits than its factorization.

353022101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412082 (or 412070 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 353022101120 its reverse (21101220353), we get a palindrome (374123321473).

The spelling of 353022101120 in words is "three hundred fifty-three billion, twenty-two million, one hundred one thousand, one hundred twenty".