456212223120 has 80 divisors (see below), whose sum is σ = 1422071606592. Its totient is φ = 120984445440.

The previous prime is 456212223067. The next prime is 456212223191. The reversal of 456212223120 is 21322212654.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 5207622 + ... + 5294501.

Almost surely, 2^456212223120 is an apocalyptic number.

456212223120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456212223120 is an abundant number, since it is smaller than the sum of its proper divisors (965859383472).

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

456212223120 is a wasteful number, since it uses less digits than its factorization.

456212223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10502320 (or 10502314 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 456212223120 its reverse (21322212654), we get a palindrome (477534435774).

The spelling of 456212223120 in words is "four hundred fifty-six billion, two hundred twelve million, two hundred twenty-three thousand, one hundred twenty".