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122030213040 = 2434569127253
BaseRepresentation
bin111000110100110010…
…0010100011110110000
3102122222111101010020000
41301221210110132300
53444404213304130
6132020534550000
711550010460601
oct1615144243660
9378874333200
10122030213040
114783096823a
121b797808300
13b6799ac668
145c98c27da8
153293335260
hex1c699147b0

122030213040 has 200 divisors, whose sum is σ = 424457938608. Its totient is φ = 32493104640.

The previous prime is 122030213003. The next prime is 122030213057. The reversal of 122030213040 is 40312030221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4464054 + ... + 4491306.

Almost surely, 2122030213040 is an apocalyptic number.

122030213040 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 122030213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212228969304).

122030213040 is an abundant number, since it is smaller than the sum of its proper divisors (302427725568).

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

122030213040 is a wasteful number, since it uses less digits than its factorization.

122030213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27969 (or 27954 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122030213040 its reverse (40312030221), we get a palindrome (162342243261).

The spelling of 122030213040 in words is "one hundred twenty-two billion, thirty million, two hundred thirteen thousand, forty".