1022121000 has 144 divisors (see below), whose sum is σ = 3465050940. Its totient is φ = 271756800.

The previous prime is 1022120987. The next prime is 1022121011. The reversal of 1022121000 is 1212201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 3617604 + 1018503396 = 1902^2 + 31914^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3032832 + ... + 3033168.

Almost surely, 2^1022121000 is an apocalyptic number.

1022121000 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 1022121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732525470).

1022121000 is an abundant number, since it is smaller than the sum of its proper divisors (2442929940).

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

1022121000 is an equidigital number, since it uses as much as digits as its factorization.

1022121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1022121000 is about 31970.6271443023. The cubic root of 1022121000 is about 1007.3199541986.

Adding to 1022121000 its reverse (1212201), we get a palindrome (1023333201).

The spelling of 1022121000 in words is "one billion, twenty-two million, one hundred twenty-one thousand".