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122030201040 = 2435111719143107
BaseRepresentation
bin111000110100110010…
…0010001100011010000
3102122222111100111202120
41301221210101203100
53444404212413130
6132020534414240
711550010410606
oct1615144214320
9378874314676
10122030201040
114783095a220
121b797801380
13b6799a7067
145c98c23876
153293331910
hex1c699118d0

122030201040 has 320 divisors, whose sum is σ = 459960560640. Its totient is φ = 26377297920.

The previous prime is 122030200991. The next prime is 122030201053. The reversal of 122030201040 is 40102030221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 781167 + ... + 924273.

It is an arithmetic number, because the mean of its divisors is an integer number (1437376752).

Almost surely, 2122030201040 is an apocalyptic number.

122030201040 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 122030201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229980280320).

122030201040 is an abundant number, since it is smaller than the sum of its proper divisors (337930359600).

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

122030201040 is a wasteful number, since it uses less digits than its factorization.

122030201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143170 (or 143164 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 122030201040 its reverse (40102030221), we get a palindrome (162132231261).

The spelling of 122030201040 in words is "one hundred twenty-two billion, thirty million, two hundred one thousand, forty".