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120000002001000 = 233531119595096373
BaseRepresentation
bin11011010010001110101101…
…011111100000100001101000
3120201212212222110112200210120
4123102032231133200201220
5111212040001003013000
61103115123451443240
734163466626200032
oct3322165537404150
9521785873480716
10120000002001000
1135265795810630
1211560979a56520
1351c5c4a97a6b4
14218c061430c52
15dd171e8ed6a0
hex6d23ad7e0868

120000002001000 has 1024 divisors, whose sum is σ = 438147740160000. Its totient is φ = 27035223552000.

The previous prime is 120000002000971. The next prime is 120000002001001. The reversal of 120000002001000 is 100200000021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 120000002001000.

It is not an unprimeable number, because it can be changed into a prime (120000002001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18829433814 + ... + 18829440186.

It is an arithmetic number, because the mean of its divisors is an integer number (427878652500).

Almost surely, 2120000002001000 is an apocalyptic number.

120000002001000 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 120000002001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219073870080000).

120000002001000 is an abundant number, since it is smaller than the sum of its proper divisors (318147738159000).

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

120000002001000 is a wasteful number, since it uses less digits than its factorization.

120000002001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 120000002001000 its reverse (100200000021), we get a palindrome (120100202001021).

The spelling of 120000002001000 in words is "one hundred twenty trillion, two million, one thousand".