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22121022220000 = 255411598320533
BaseRepresentation
bin1010000011110011100111…
…01010111110011011100000
32220022202020001222010100021
411001321303222332123200
510344412323142020000
6115014131325203224
74442122360306414
oct501716352763340
986282201863307
1022121022220000
117059522392a60
122593251700514
13c4600774c372
1456693db06d44
1528564293911a
hex141e73abe6e0

22121022220000 has 480 divisors, whose sum is σ = 61105024632960. Its totient is φ = 7812015360000.

The previous prime is 22121022219977. The next prime is 22121022220007. The reversal of 22121022220000 is 2222012122.

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 (22121022220007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1077329734 + ... + 1077350266.

It is an arithmetic number, because the mean of its divisors is an integer number (127302134652).

Almost surely, 222121022220000 is an apocalyptic number.

22121022220000 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 22121022220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30552512316480).

22121022220000 is an abundant number, since it is smaller than the sum of its proper divisors (38984002412960).

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

22121022220000 is a wasteful number, since it uses less digits than its factorization.

22121022220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20716 (or 20693 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22121022220000 its reverse (2222012122), we get a palindrome (22123244232122).

The spelling of 22121022220000 in words is "twenty-two trillion, one hundred twenty-one billion, twenty-two million, two hundred twenty thousand".