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20022212122120 = 235139712717531783
BaseRepresentation
bin1001000110101110010001…
…10101110101011000001000
32121220002211101111012222101
410203113020311311120020
510111020442300401440
6110330024405003144
74134362036653255
oct443271065653010
977802741435871
1020022212122120
11641a41084615a
1222b45323b34b4
13b23118075770
144d311a25842c
1524ac54e1569a
hex1235c8d75608

20022212122120 has 256 divisors, whose sum is σ = 49457371299840. Its totient is φ = 7250781339648.

The previous prime is 20022212122063. The next prime is 20022212122127. The reversal of 20022212122120 is 2122121222002.

It is not an unprimeable number, because it can be changed into a prime (20022212122127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11229506749 + ... + 11229508531.

It is an arithmetic number, because the mean of its divisors is an integer number (193192856640).

Almost surely, 220022212122120 is an apocalyptic number.

20022212122120 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 20022212122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24728685649920).

20022212122120 is an abundant number, since it is smaller than the sum of its proper divisors (29435159177720).

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

20022212122120 is a wasteful number, since it uses less digits than its factorization.

20022212122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 20022212122120 its reverse (2122121222002), we get a palindrome (22144333344122).

The spelling of 20022212122120 in words is "twenty trillion, twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twenty".