1202742000 has 160 divisors (see below), whose sum is σ = 4308682560. Its totient is φ = 320716800.

The previous prime is 1202741987. The next prime is 1202742001. The reversal of 1202742000 is 2472021.

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 (1202742001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42864 + ... + 65136.

It is an arithmetic number, because the mean of its divisors is an integer number (26929266).

Almost surely, 2^1202742000 is an apocalyptic number.

1202742000 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 1202742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154341280).

1202742000 is an abundant number, since it is smaller than the sum of its proper divisors (3105940560).

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

1202742000 is a wasteful number, since it uses less digits than its factorization.

1202742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22305 (or 22283 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1202742000 is about 34680.5709295565. The cubic root of 1202742000 is about 1063.4673450876.

The spelling of 1202742000 in words is "one billion, two hundred two million, seven hundred forty-two thousand".