420112211024 has 30 divisors (see below), whose sum is σ = 894691453530. Its totient is φ = 190960095040.

The previous prime is 420112210979. The next prime is 420112211027.

420112211024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 412960464400 + 7151746624 = 642620^2 + 84568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 420112210987 and 420112211005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420112211027) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 108498119 + ... + 108501990.

It is an arithmetic number, because the mean of its divisors is an integer number (29823048451).

Almost surely, 2^420112211024 is an apocalyptic number.

420112211024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420112211024 is an abundant number, since it is smaller than the sum of its proper divisors (474579242506).

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

420112211024 is a wasteful number, since it uses less digits than its factorization.

420112211024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217000139 (or 217000122 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 420112 and 211024, that added together give a palindrome (631136).

The spelling of 420112211024 in words is "four hundred twenty billion, one hundred twelve million, two hundred eleven thousand, twenty-four".