350445101131200 has 672 divisors, whose sum is σ = 1238670238245120. Its totient is φ = 86418543411200.

The previous prime is 350445101131187. The next prime is 350445101131201. The reversal of 350445101131200 is 2131101544053.

It is a super-2 number, since 2×350445101131200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350445101131201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9643225030 + ... + 9643261370.

Almost surely, 2^{350445101131200} is an apocalyptic number.

350445101131200 is a gapful number since it is divisible by the number (30) 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 350445101131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619335119122560).

350445101131200 is an abundant number, since it is smaller than the sum of its proper divisors (888225137113920).

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

350445101131200 is a wasteful number, since it uses less digits than its factorization.

350445101131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38445 (or 38430 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 350445101131200 its reverse (2131101544053), we get a palindrome (352576202675253).

The spelling of 350445101131200 in words is "three hundred fifty trillion, four hundred forty-five billion, one hundred one million, one hundred thirty-one thousand, two hundred".