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1122210123120 = 2432543151240047
BaseRepresentation
bin10000010101001000111…
…011111000110101110000
310222021121202022220221100
4100111020323320311300
5121341241242414440
62215311453324400
7144035261442042
oct20251073706560
93867552286840
101122210123120
113a2a213a4249
121615a9a96700
1381a9331a168
143c45b103a92
151e2d0788230
hex10548ef8d70

1122210123120 has 240 divisors, whose sum is σ = 3881956396032. Its totient is φ = 290359641600.

The previous prime is 1122210123107. The next prime is 1122210123233. The reversal of 1122210123120 is 213210122211.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1122210123093 and 1122210123102.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4554937 + ... + 4794983.

Almost surely, 21122210123120 is an apocalyptic number.

1122210123120 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 1122210123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940978198016).

1122210123120 is an abundant number, since it is smaller than the sum of its proper divisors (2759746272912).

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

1122210123120 is a wasteful number, since it uses less digits than its factorization.

1122210123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240260 (or 240251 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1122210123120 its reverse (213210122211), we get a palindrome (1335420245331).

Subtracting from 1122210123120 its reverse (213210122211), we obtain a palindrome (909000000909).

The spelling of 1122210123120 in words is "one trillion, one hundred twenty-two billion, two hundred ten million, one hundred twenty-three thousand, one hundred twenty".