1202102442000 has 240 divisors, whose sum is σ = 4201226020992. Its totient is φ = 320355820800.

The previous prime is 1202102441987. The next prime is 1202102442029. The reversal of 1202102442000 is 2442012021.

1202102442000 is a `hidden beast` number, since 12 + 0 + 210 + 2 + 442 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29265477 + ... + 29306523.

Almost surely, 2^{1202102442000} is an apocalyptic number.

1202102442000 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 1202102442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100613010496).

1202102442000 is an abundant number, since it is smaller than the sum of its proper divisors (2999123578992).

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

1202102442000 is a wasteful number, since it uses less digits than its factorization.

1202102442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42703 (or 42684 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1202102442000 its reverse (2442012021), we get a palindrome (1204544454021).

The spelling of 1202102442000 in words is "one trillion, two hundred two billion, one hundred two million, four hundred forty-two thousand".