1020312223400 has 192 divisors, whose sum is σ = 2432121120000. Its totient is φ = 397974021120.

The previous prime is 1020312223361. The next prime is 1020312223421. The reversal of 1020312223400 is 43222130201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669935039 + ... + 669936561.

It is an arithmetic number, because the mean of its divisors is an integer number (12667297500).

Almost surely, 2^{1020312223400} is an apocalyptic number.

1020312223400 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 1020312223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216060560000).

1020312223400 is an abundant number, since it is smaller than the sum of its proper divisors (1411808896600).

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

1020312223400 is a wasteful number, since it uses less digits than its factorization.

1020312223400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1020312223400 its reverse (43222130201), we get a palindrome (1063534353601).

The spelling of 1020312223400 in words is "one trillion, twenty billion, three hundred twelve million, two hundred twenty-three thousand, four hundred".