1014224211200 has 54 divisors (see below), whose sum is σ = 2510363411094. Its totient is φ = 405689681920.

The previous prime is 1014224211157. The next prime is 1014224211233. The reversal of 1014224211200 is 21124224101.

It can be written as a sum of positive squares in 3 ways, for example, as 239880530176 + 774343681024 = 489776^2 + 879968^2 .

It is a super-3 number, since 3×1014224211200³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79229867 + ... + 79242666.

Almost surely, 2^{1014224211200} is an apocalyptic number.

1014224211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014224211200 is an abundant number, since it is smaller than the sum of its proper divisors (1496139199894).

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

1014224211200 is an equidigital number, since it uses as much as digits as its factorization.

1014224211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158472559 (or 158472540 counting only the distinct ones).

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

Adding to 1014224211200 its reverse (21124224101), we get a palindrome (1035348435301).

The spelling of 1014224211200 in words is "one trillion, fourteen billion, two hundred twenty-four million, two hundred eleven thousand, two hundred".