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22121103003120 = 243251129197488897
BaseRepresentation
bin1010000011110011110000…
…11111001000110111110000
32220022202102200222022221200
411001321320133020313300
510344413004332044440
6115014143332451200
74442124361043622
oct501717037106760
986282380868850
1022121103003120
117059563a49570
122593274779b00
13c4601b3c5024
1456694a734c12
15285649a94c30
hex141e787c8df0

22121103003120 has 480 divisors, whose sum is σ = 84264034345920. Its totient is φ = 5151477596160.

The previous prime is 22121103003067. The next prime is 22121103003137. The reversal of 22121103003120 is 2130030112122.

22121103003120 is a `hidden beast` number, since 2 + 21 + 21 + 10 + 300 + 312 + 0 = 666.

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 = 22121103003093 and 22121103003102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45002512 + ... + 45491408.

It is an arithmetic number, because the mean of its divisors is an integer number (175550071554).

Almost surely, 222121103003120 is an apocalyptic number.

22121103003120 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 22121103003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42132017172960).

22121103003120 is an abundant number, since it is smaller than the sum of its proper divisors (62142931342800).

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

22121103003120 is a wasteful number, since it uses less digits than its factorization.

22121103003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489153 (or 489144 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22121103003120 its reverse (2130030112122), we get a palindrome (24251133115242).

The spelling of 22121103003120 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred three million, three thousand, one hundred twenty".