1020122000 has 40 divisors (see below), whose sum is σ = 2466659832. Its totient is φ = 408048000.

The previous prime is 1020121997. The next prime is 1020122003. The reversal of 1020122000 is 2210201.

It is an interprime number because it is at equal distance from previous prime (1020121997) and next prime (1020122003).

It can be written as a sum of positive squares in 4 ways, for example, as 31899904 + 988222096 = 5648^2 + 31436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1020122003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253031 + ... + 257030.

Almost surely, 2^1020122000 is an apocalyptic number.

1020122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020122000 is an abundant number, since it is smaller than the sum of its proper divisors (1446537832).

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

1020122000 is an equidigital number, since it uses as much as digits as its factorization.

1020122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510084 (or 510068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1020122000 is about 31939.3487723216. The cubic root of 1020122000 is about 1006.6628412838.

Adding to 1020122000 its reverse (2210201), we get a palindrome (1022332201).

The spelling of 1020122000 in words is "one billion, twenty million, one hundred twenty-two thousand".