1202121000 has 448 divisors, whose sum is σ = 4511641680. Its totient is φ = 298598400.

The previous prime is 1202120993. The next prime is 1202121001. The reversal of 1202121000 is 1212021.

It can be written as a sum of positive squares in 8 ways, for example, as 106378596 + 1095742404 = 10314^2 + 33102^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1202121001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12392952 + ... + 12393048.

Almost surely, 2^1202121000 is an apocalyptic number.

1202121000 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 1202121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255820840).

1202121000 is an abundant number, since it is smaller than the sum of its proper divisors (3309520680).

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

1202121000 is an equidigital number, since it uses as much as digits as its factorization.

1202121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

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

The square root of 1202121000 is about 34671.6166337827. The cubic root of 1202121000 is about 1063.2842836842.

Adding to 1202121000 its reverse (1212021), we get a palindrome (1203333021).

The spelling of 1202121000 in words is "one billion, two hundred two million, one hundred twenty-one thousand".