1211420400 has 120 divisors (see below), whose sum is σ = 3934026480. Its totient is φ = 318597120.

The previous prime is 1211420383. The next prime is 1211420407. The reversal of 1211420400 is 40241121.

1211420400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×1211420400³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1211420400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211420407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80686 + ... + 94514.

It is an arithmetic number, because the mean of its divisors is an integer number (32783554).

Almost surely, 2^1211420400 is an apocalyptic number.

1211420400 is a gapful number since it is divisible by the number (10) 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 1211420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967013240).

1211420400 is an abundant number, since it is smaller than the sum of its proper divisors (2722606080).

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

1211420400 is a wasteful number, since it uses less digits than its factorization.

1211420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13923 (or 13912 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1211420400 is about 34805.4650881151. The cubic root of 1211420400 is about 1066.0190382946.

Adding to 1211420400 its reverse (40241121), we get a palindrome (1251661521).

The spelling of 1211420400 in words is "one billion, two hundred eleven million, four hundred twenty thousand, four hundred".