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120213451123040 = 25511130752259447
BaseRepresentation
bin11011010101010101100000…
…000011010010100101100000
3120202122021221002201120101002
4123111111200003102211200
5111224034121441414130
61103401144055131132
734215064245613262
oct3325254003224540
9522567832646332
10120213451123040
1135338269223220
1211596209673aa8
13521010641b742
14219850d78bb32
15dd706393cb45
hex6d55600d2960

120213451123040 has 96 divisors (see below), whose sum is σ = 310059903815424. Its totient is φ = 43680535344640.

The previous prime is 120213451123039. The next prime is 120213451123097. The reversal of 120213451123040 is 40321154312021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120213451122994 and 120213451123012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23829404 + ... + 28430043.

It is an arithmetic number, because the mean of its divisors is an integer number (3229790664744).

Almost surely, 2120213451123040 is an apocalyptic number.

120213451123040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120213451123040 is an abundant number, since it is smaller than the sum of its proper divisors (189846452692384).

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

120213451123040 is a wasteful number, since it uses less digits than its factorization.

120213451123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52260780 (or 52260772 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 120213451123040 in words is "one hundred twenty trillion, two hundred thirteen billion, four hundred fifty-one million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1307 1760 2614 5228 6535 10456 13070 14377 20912 26140 28754 41824 52280 57508 71885 104560 115016 143770 209120 230032 287540 460064 575080 1150160 2300320 52259447 104518894 209037788 261297235 418075576 522594470 574853917 836151152 1045188940 1149707834 1672302304 2090377880 2299415668 2874269585 4180755760 4598831336 5748539170 8361511520 9197662672 11497078340 18395325344 22994156680 45988313360 68303097229 91976626720 136606194458 273212388916 341515486145 546424777832 683030972290 751334069519 1092849555664 1366061944580 1502668139038 2185699111328 2732123889160 3005336278076 3756670347595 5464247778320 6010672556152 7513340695190 10928495556640 12021345112304 15026681390380 24042690224608 30053362780760 60106725561520 120213451123040