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120122112210012 = 223211409741659333
BaseRepresentation
bin11011010100000000011011…
…110100111111010001011100
3120202022120011112110000212100
4123110000123310333101130
5111221040041211210022
61103251200405205100
734205351630636223
oct3324003364772134
9522276145400770
10120122112210012
1135302557846a40
1211580578400790
13520460b0b8643
142193d26b1dcba
15dd49b9c861ac
hex6d401bd3f45c

120122112210012 has 72 divisors (see below), whose sum is σ = 332055717018480. Its totient is φ = 36311640894720.

The previous prime is 120122112209999. The next prime is 120122112210019. The reversal of 120122112210012 is 210012211221021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120122112210019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370667703 + ... + 370991630.

It is an arithmetic number, because the mean of its divisors is an integer number (4611884958590).

Almost surely, 2120122112210012 is an apocalyptic number.

120122112210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120122112210012 is an abundant number, since it is smaller than the sum of its proper divisors (211933604808468).

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

120122112210012 is a wasteful number, since it uses less digits than its factorization.

120122112210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741659763 (or 741659758 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120122112210012 its reverse (210012211221021), we get a palindrome (330134323431033).

The spelling of 120122112210012 in words is "one hundred twenty trillion, one hundred twenty-two billion, one hundred twelve million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 409 818 1227 1636 2454 3681 4499 4908 7362 8998 13497 14724 17996 26994 40491 53988 80982 161964 741659333 1483318666 2224977999 2966637332 4449955998 6674933997 8158252663 8899911996 13349867994 16316505326 24474757989 26699735988 32633010652 48949515978 73424273967 97899031956 146848547934 293697095868 303338667197 606677334394 910016001591 1213354668788 1820032003182 2730048004773 3336725339167 3640064006364 5460096009546 6673450678334 10010176017501 10920192019092 13346901356668 20020352035002 30030528052503 40040704070004 60061056105006 120122112210012