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122020200011220 = 223575344931220029
BaseRepresentation
bin11011101111101000001010…
…101011010101010111010100
3121000001000110112111202222020
4123233220022223111113110
5111443134332200324340
61111303150034133140
734462445210021220
oct3357501253252724
9530030415452866
10122020200011220
1135974526934445
12118283ba1211b0
1353115bc9280b4
14221bb485cb780
15e1905ac0b9d0
hex6efa0aad55d4

122020200011220 has 192 divisors, whose sum is σ = 397920768376320. Its totient is φ = 27357985953792.

The previous prime is 122020200011191. The next prime is 122020200011221. The reversal of 122020200011220 is 22110002020221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122020200011220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020200011221) 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, 99404166 + ... + 100624194.

It is an arithmetic number, because the mean of its divisors is an integer number (2072504001960).

Almost surely, 2122020200011220 is an apocalyptic number.

122020200011220 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 122020200011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198960384188160).

122020200011220 is an abundant number, since it is smaller than the sum of its proper divisors (275900568365100).

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

122020200011220 is a wasteful number, since it uses less digits than its factorization.

122020200011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224594 (or 1224592 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122020200011220 its reverse (22110002020221), we get a palindrome (144130202031441).

The spelling of 122020200011220 in words is "one hundred twenty-two trillion, twenty billion, two hundred million, eleven thousand, two hundred twenty".