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120039220242 = 23416321672
BaseRepresentation
bin110111111001011100…
…1010010010000010010
3102110211201222012120000
41233302321102100102
53431320020021432
6131051213030430
711446453352064
oct1576271222022
9373751865500
10120039220242
11469aa012947
121b320a85416
13b42036a006
145b4a635734
1531c865157c
hex1bf2e52412

120039220242 has 90 divisors (see below), whose sum is σ = 272267344503. Its totient is φ = 39529465128.

The previous prime is 120039220237. The next prime is 120039220247. The reversal of 120039220242 is 242022930021.

120039220242 is a `hidden beast` number, since 12 + 0 + 0 + 392 + 20 + 242 = 666.

120039220242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120039220237) and next prime (120039220247).

It can be written as a sum of positive squares in only one way, i.e., 60019610121 + 60019610121 = 244989^2 + 244989^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=244989.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120039220247) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 718797643 + ... + 718797809.

Almost surely, 2120039220242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120039220242

120039220242 is an abundant number, since it is smaller than the sum of its proper divisors (152228124261).

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

120039220242 is an frugal number, since it uses more digits than its factorization.

120039220242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 120039220242 in words is "one hundred twenty billion, thirty-nine million, two hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 167 326 334 489 501 978 1002 1467 1503 2934 3006 4401 4509 8802 9018 13203 13527 26406 26569 27054 27221 27889 53138 54442 55778 79707 81663 83667 159414 163326 167334 239121 244989 251001 478242 489978 502002 717363 734967 753003 1434726 1469934 1506006 2152089 2204901 2259009 4304178 4409802 4437023 4518018 4545907 8874046 9091814 13311069 13637721 26622138 27275442 39933207 40913163 79866414 81826326 119799621 122739489 239599242 245478978 359398863 368218467 718797726 736436934 740982841 1481965682 2222948523 4445897046 6668845569 13337691138 20006536707 40013073414 60019610121 120039220242