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1242199029852 = 2235111913943991
BaseRepresentation
bin10010000100111000110…
…101001111100001011100
311101202022222121221100000
4102010320311033201130
5130323010422423402
62350354112134300
7155513564352414
oct22047065174134
94352288557300
101242199029852
114398a4a71880
121808b5b37390
13901a611c161
14441a0b9d644
15224a479bc1c
hex12138d4f85c

1242199029852 has 288 divisors, whose sum is σ = 3766278297600. Its totient is φ = 354038558400.

The previous prime is 1242199029817. The next prime is 1242199029853. The reversal of 1242199029852 is 2589209912421.

1242199029852 is a `hidden beast` number, since 1 + 2 + 4 + 219 + 90 + 298 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242199029853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28215577 + ... + 28259567.

It is an arithmetic number, because the mean of its divisors is an integer number (13077355200).

Almost surely, 21242199029852 is an apocalyptic number.

1242199029852 is a gapful number since it is divisible by the number (12) 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 1242199029852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883139148800).

1242199029852 is an abundant number, since it is smaller than the sum of its proper divisors (2524079267748).

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

1242199029852 is a wasteful number, since it uses less digits than its factorization.

1242199029852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44179 (or 44165 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1242199029852 in words is "one trillion, two hundred forty-two billion, one hundred ninety-nine million, twenty-nine thousand, eight hundred fifty-two".