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120002202001120 = 255191311372199499
BaseRepresentation
bin11011010010010000110000…
…100111110101111011100000
3120201220002122210020021121111
4123102100300213311323200
5111212104002203013440
61103120130041233104
734163605301656405
oct3322206047657340
9521802583207544
10120002202001120
113526671464024a
1211561292792794
1351c620b6ac10a
14218c1cd6ac2ac
15dd17ecb1a4ea
hex6d24309f5ee0

120002202001120 has 192 divisors, whose sum is σ = 302899655520000. Its totient is φ = 44797967585280.

The previous prime is 120002202001067. The next prime is 120002202001159. The reversal of 120002202001120 is 21100202200021.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 120002202001120.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 53459131 + ... + 55658629.

It is an arithmetic number, because the mean of its divisors is an integer number (1577602372500).

Almost surely, 2120002202001120 is an apocalyptic number.

120002202001120 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 120002202001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151449827760000).

120002202001120 is an abundant number, since it is smaller than the sum of its proper divisors (182897453518880).

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

120002202001120 is a wasteful number, since it uses less digits than its factorization.

120002202001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199801 (or 2199793 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120002202001120 its reverse (21100202200021), we get a palindrome (141102404201141).

The spelling of 120002202001120 in words is "one hundred twenty trillion, two billion, two hundred two million, one thousand, one hundred twenty".