1020121404000 has 192 divisors, whose sum is σ = 3368237064192. Its totient is φ = 269889984000.

The previous prime is 1020121403963. The next prime is 1020121404011. The reversal of 1020121404000 is 4041210201.

1020121404000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1189315 + ... + 1858685.

It is an arithmetic number, because the mean of its divisors is an integer number (17542901376).

Almost surely, 2^{1020121404000} is an apocalyptic number.

1020121404000 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 1020121404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684118532096).

1020121404000 is an abundant number, since it is smaller than the sum of its proper divisors (2348115660192).

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

1020121404000 is a wasteful number, since it uses less digits than its factorization.

1020121404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669526 (or 669508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1020121404000 its reverse (4041210201), we get a palindrome (1024162614201).

The spelling of 1020121404000 in words is "one trillion, twenty billion, one hundred twenty-one million, four hundred four thousand".