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122330201132220 = 223510120186501837
BaseRepresentation
bin11011110100001000111000…
…001011110000110010111100
3121001010122122001022101120020
4123310020320023300302330
5112013224222442212340
61112101415114052140
734524031265045004
oct3364107013606274
9531118561271506
10122330201132220
1135a83a464409a4
12118784b4a1a050
1353348c4747483
14222cb55aa5004
15e221513ea9d0
hex6f42382f0cbc

122330201132220 has 48 divisors (see below), whose sum is σ = 345915895495968. Its totient is φ = 32298402937600.

The previous prime is 122330201132141. The next prime is 122330201132221. The reversal of 122330201132220 is 22231102033221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122330201132221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10093244859 + ... + 10093256978.

It is an arithmetic number, because the mean of its divisors is an integer number (7206581156166).

Almost surely, 2122330201132220 is an apocalyptic number.

122330201132220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122330201132220 is an abundant number, since it is smaller than the sum of its proper divisors (223585694363748).

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

122330201132220 is a wasteful number, since it uses less digits than its factorization.

122330201132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20186501950 (or 20186501948 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122330201132220 its reverse (22231102033221), we get a palindrome (144561303165441).

The spelling of 122330201132220 in words is "one hundred twenty-two trillion, three hundred thirty billion, two hundred one million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 20186501837 40373003674 60559505511 80746007348 100932509185 121119011022 201865018370 242238022044 302797527555 403730036740 605595055110 1211190110220 2038836685537 4077673371074 6116510056611 8155346742148 10194183427685 12233020113222 20388366855370 24466040226444 30582550283055 40776733710740 61165100566110 122330201132220