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2122422120000 = 2632547131737103
BaseRepresentation
bin11110111000101010001…
…101110110111001000000
321111220100020122220110200
4132320222031312321000
5234233210030320000
64303005515525200
7306224412232560
oct36705215667100
97456306586420
102122422120000
11749128a56576
122a340aa59800
131251b34b0730
1474a23772da0
153a320928500
hex1ee2a376e40

2122422120000 has 3360 divisors, whose sum is σ = 10273195924992. Its totient is φ = 406093824000.

The previous prime is 2122422119971. The next prime is 2122422120001. The reversal of 2122422120000 is 212242212.

2122422120000 is a `hidden beast` number, since 2 + 122 + 422 + 120 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2122422120001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 20606039949 + ... + 20606040051.

Almost surely, 22122422120000 is an apocalyptic number.

2122422120000 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 2122422120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136597962496).

2122422120000 is an abundant number, since it is smaller than the sum of its proper divisors (8150773804992).

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

2122422120000 is a wasteful number, since it uses less digits than its factorization.

2122422120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2122422120000 its reverse (212242212), we get a palindrome (2122634362212).

2122422120000 divided by its reverse (212242212) gives a 4-th power (10000 = 104).

It can be divided in two parts, 2122422 and 120000, that added together give a palindrome (2242422).

The spelling of 2122422120000 in words is "two trillion, one hundred twenty-two billion, four hundred twenty-two million, one hundred twenty thousand".