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122203211130 = 2325711133761601
BaseRepresentation
bin111000111001111100…
…0010000010101111010
3102200102112220022222200
41301303320100111322
54000233010224010
6132050034531030
711554211104320
oct1616370202572
9380375808880
10122203211130
114790a588270
121b825736a76
13b6a67a14b0
145cb3bbbd10
1532a3608cc0
hex1c73e1057a

122203211130 has 768 divisors, whose sum is σ = 446053450752. Its totient is φ = 22394880000.

The previous prime is 122203211101. The next prime is 122203211131. The reversal of 122203211130 is 31112302221.

122203211130 is a `hidden beast` number, since 12 + 220 + 321 + 113 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122203211131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 203332830 + ... + 203333430.

It is an arithmetic number, because the mean of its divisors is an integer number (580798764).

Almost surely, 2122203211130 is an apocalyptic number.

122203211130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122203211130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223026725376).

122203211130 is an abundant number, since it is smaller than the sum of its proper divisors (323850239622).

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

122203211130 is a wasteful number, since it uses less digits than its factorization.

122203211130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 740 counting only the distinct ones).

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

Adding to 122203211130 its reverse (31112302221), we get a palindrome (153315513351).

It can be divided in two parts, 122203 and 211130, that added together give a palindrome (333333).

The spelling of 122203211130 in words is "one hundred twenty-two billion, two hundred three million, two hundred eleven thousand, one hundred thirty".