1220012400 has 240 divisors, whose sum is σ = 4054927968. Its totient is φ = 313344000.

The previous prime is 1220012399. The next prime is 1220012407. The reversal of 1220012400 is 42100221.

1220012400 is digitally balanced in base 4, 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220012407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6740310 + ... + 6740490.

Almost surely, 2^1220012400 is an apocalyptic number.

1220012400 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 1220012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027463984).

1220012400 is an abundant number, since it is smaller than the sum of its proper divisors (2834915568).

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

1220012400 is a wasteful number, since it uses less digits than its factorization.

1220012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1220012400 is about 34928.6758981786. The cubic root of 1220012400 is about 1068.5333502920.

Adding to 1220012400 its reverse (42100221), we get a palindrome (1262112621).

The spelling of 1220012400 in words is "one billion, two hundred twenty million, twelve thousand, four hundred".