1202652000 has 288 divisors, whose sum is σ = 4657764384. Its totient is φ = 291456000.

The previous prime is 1202651981. The next prime is 1202652001. The reversal of 1202652000 is 2562021.

1202652000 is a `hidden beast` number, since 12 + 0 + 2 + 652 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1202652001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394482 + ... + 397518.

It is an arithmetic number, because the mean of its divisors is an integer number (16172793).

Almost surely, 2^1202652000 is an apocalyptic number.

1202652000 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 1202652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328882192).

1202652000 is an abundant number, since it is smaller than the sum of its proper divisors (3455112384).

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

1202652000 is a wasteful number, since it uses less digits than its factorization.

1202652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3079 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1202652000 is about 34679.2733487886. The cubic root of 1202652000 is about 1063.4408183544.

It can be divided in two parts, 120265 and 2000, that added together give a triangular number (122265 = T₄₉₄).

The spelling of 1202652000 in words is "one billion, two hundred two million, six hundred fifty-two thousand".