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22122112210000 = 245411325161861
BaseRepresentation
bin1010000011110101101001…
…01000111101010001010000
32220022212001000222100112021
411001322310220331101100
510344422041211210000
6115014431423341224
74442161364132005
oct501726450752120
986285030870467
1022122112210000
117059a31690640
1225934b6751814
13c4614c506a6a
14566a0479b8ac
152856a849411a
hex141eb4a3d450

22122112210000 has 200 divisors, whose sum is σ = 58447840179168. Its totient is φ = 8041800000000.

The previous prime is 22122112209983. The next prime is 22122112210007. The reversal of 22122112210000 is 1221122122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122112210007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 357579070 + ... + 357640930.

Almost surely, 222122112210000 is an apocalyptic number.

22122112210000 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 22122112210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29223920089584).

22122112210000 is an abundant number, since it is smaller than the sum of its proper divisors (36325727969168).

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

22122112210000 is a wasteful number, since it uses less digits than its factorization.

22122112210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65151 (or 65130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22122112210000 its reverse (1221122122), we get a palindrome (22123333332122).

The spelling of 22122112210000 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred twelve million, two hundred ten thousand".