1023121200 has 120 divisors (see below), whose sum is σ = 3470255568. Its totient is φ = 256778240.

The previous prime is 1023121199. The next prime is 1023121201. The reversal of 1023121200 is 21213201.

It is an interprime number because it is at equal distance from previous prime (1023121199) and next prime (1023121201).

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

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

It is not an unprimeable number, because it can be changed into a prime (1023121201) 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, 4677 + ... + 45476.

Almost surely, 2^1023121200 is an apocalyptic number.

1023121200 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 1023121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735127784).

1023121200 is an abundant number, since it is smaller than the sum of its proper divisors (2447134368).

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

1023121200 is a wasteful number, since it uses less digits than its factorization.

1023121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50191 (or 50180 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1023121200 is about 31986.2658026848. The cubic root of 1023121200 is about 1007.6484192104.

Adding to 1023121200 its reverse (21213201), we get a palindrome (1044334401).

The spelling of 1023121200 in words is "one billion, twenty-three million, one hundred twenty-one thousand, two hundred".