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2122011121120 = 255112943966871
BaseRepresentation
bin11110111000010001101…
…110000001010111100000
321111212021121021222222221
4132320101232001113200
5234231334321333440
64302501034440424
7306211261631242
oct36702156012740
97455247258887
102122011121120
11748a37a58a80
122a3315293114
131251492baa27
14749c4d48092
153a2e97e0d4a
hex1ee11b815e0

2122011121120 has 192 divisors, whose sum is σ = 5789165437440. Its totient is φ = 727705036800.

The previous prime is 2122011121117. The next prime is 2122011121123. The reversal of 2122011121120 is 211211102212.

It is an interprime number because it is at equal distance from previous prime (2122011121117) and next prime (2122011121123).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2122011121094 and 2122011121103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122011121123) 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 31 ways as a sum of consecutive naturals, for example, 1711285 + ... + 2678155.

It is an arithmetic number, because the mean of its divisors is an integer number (30151903320).

Almost surely, 22122011121120 is an apocalyptic number.

2122011121120 is a gapful number since it is divisible by the number (20) 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 2122011121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894582718720).

2122011121120 is an abundant number, since it is smaller than the sum of its proper divisors (3667154316320).

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

2122011121120 is a wasteful number, since it uses less digits than its factorization.

2122011121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966969 (or 966961 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2122011121120 its reverse (211211102212), we get a palindrome (2333222223332).

The spelling of 2122011121120 in words is "two trillion, one hundred twenty-two billion, eleven million, one hundred twenty-one thousand, one hundred twenty".