1022121400 has 48 divisors (see below), whose sum is σ = 2395203840. Its totient is φ = 405619200.

The previous prime is 1022121391. The next prime is 1022121421. The reversal of 1022121400 is 41212201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5280 + ... + 45520.

It is an arithmetic number, because the mean of its divisors is an integer number (49900080).

Almost surely, 2^1022121400 is an apocalyptic number.

1022121400 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 1022121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197601920).

1022121400 is an abundant number, since it is smaller than the sum of its proper divisors (1373082440).

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

1022121400 is a wasteful number, since it uses less digits than its factorization.

1022121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40384 (or 40375 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1022121400 is about 31970.6334000439. The cubic root of 1022121400 is about 1007.3200856011.

Adding to 1022121400 its reverse (41212201), we get a palindrome (1063333601).

It can be divided in two parts, 1022121 and 400, that multiplied together give a square (408848400 = 20220²).

The spelling of 1022121400 in words is "one billion, twenty-two million, one hundred twenty-one thousand, four hundred".