1026212301400 has 288 divisors, whose sum is σ = 2829622486320. Its totient is φ = 343814169600.

The previous prime is 1026212301391. The next prime is 1026212301431. The reversal of 1026212301400 is 41032126201.

1026212301400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1026212301400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184667422 + ... + 184672978.

Almost surely, 2^{1026212301400} is an apocalyptic number.

1026212301400 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 1026212301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414811243160).

1026212301400 is an abundant number, since it is smaller than the sum of its proper divisors (1803410184920).

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

1026212301400 is a wasteful number, since it uses less digits than its factorization.

1026212301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6195 (or 6175 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1026212301400 its reverse (41032126201), we get a palindrome (1067244427601).

The spelling of 1026212301400 in words is "one trillion, twenty-six billion, two hundred twelve million, three hundred one thousand, four hundred".