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1022122100000 = 255519618819
BaseRepresentation
bin11101101111110110011…
…10011000010100100000
310121201021110001112200002
432313323032120110200
5113221301224200000
62101320103515132
7133563065333261
oct16677316302440
93551243045602
101022122100000
11364530308071
12146116758aa8
13755024cb541
14376844cc968
151b8c39628d5
hexedfb398520

1022122100000 has 288 divisors, whose sum is σ = 2691305870400. Its totient is φ = 380937600000.

The previous prime is 1022122099993. The next prime is 1022122100023. The reversal of 1022122100000 is 12212201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115895591 + ... + 115904409.

It is an arithmetic number, because the mean of its divisors is an integer number (9344812050).

Almost surely, 21022122100000 is an apocalyptic number.

1022122100000 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 1022122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345652935200).

1022122100000 is an abundant number, since it is smaller than the sum of its proper divisors (1669183770400).

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

1022122100000 is an frugal number, since it uses more digits than its factorization.

1022122100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8934 (or 8906 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022122100000 its reverse (12212201), we get a palindrome (1022134312201).

The spelling of 1022122100000 in words is "one trillion, twenty-two billion, one hundred twenty-two million, one hundred thousand".