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1242131132000 = 255311297091373
BaseRepresentation
bin10010000100110100110…
…010001110111001100000
311101202011020212100222202
4102010310302032321200
5130322341032211000
62350343244552332
7155512111262453
oct22046462167140
94352136770882
101242131132000
1143986a707150
121808972526a8
1390195038405
1444195b6749a
152249d838dd5
hex12134c8ee60

1242131132000 has 384 divisors, whose sum is σ = 3451538563200. Its totient is φ = 435176448000.

The previous prime is 1242131131981. The next prime is 1242131132017. The reversal of 1242131132000 is 2311312421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904683314 + ... + 904684686.

It is an arithmetic number, because the mean of its divisors is an integer number (8988381675).

Almost surely, 21242131132000 is an apocalyptic number.

1242131132000 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 1242131132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725769281600).

1242131132000 is an abundant number, since it is smaller than the sum of its proper divisors (2209407431200).

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

1242131132000 is a wasteful number, since it uses less digits than its factorization.

1242131132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1242131132000 its reverse (2311312421), we get a palindrome (1244442444421).

The spelling of 1242131132000 in words is "one trillion, two hundred forty-two billion, one hundred thirty-one million, one hundred thirty-two thousand".