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120390064128 = 21134725731
BaseRepresentation
bin111000000011111001…
…1101001100000000000
3102111202012010220220000
41300013303221200000
53433024324023003
6131150104520000
711461243442415
oct1600763514000
9374665126800
10120390064128
114706a064074
121b3ba480000
13b477c5a349
145b8108210c
1531e93551a3
hex1c07ce9800

120390064128 has 120 divisors (see below), whose sum is σ = 359596577340. Its totient is φ = 40129966080.

The previous prime is 120390064103. The next prime is 120390064159. The reversal of 120390064128 is 821460093021.

120390064128 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 9 + 0 + 0 + 641 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120390064092 and 120390064101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 196978 + ... + 528753.

Almost surely, 2120390064128 is an apocalyptic number.

120390064128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120390064128 is an abundant number, since it is smaller than the sum of its proper divisors (239206513212).

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

120390064128 is an frugal number, since it uses more digits than its factorization.

120390064128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725765 (or 725736 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 1203900 and 64128, that added together give a triangular number (1268028 = T1592).

The spelling of 120390064128 in words is "one hundred twenty billion, three hundred ninety million, sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4608 5184 6144 6912 9216 10368 13824 18432 20736 27648 41472 55296 82944 165888 725731 1451462 2177193 2902924 4354386 5805848 6531579 8708772 11611696 13063158 17417544 19594737 23223392 26126316 34835088 39189474 46446784 52252632 58784211 69670176 78378948 92893568 104505264 117568422 139340352 156757896 185787136 209010528 235136844 278680704 313515792 371574272 418021056 470273688 557361408 627031584 743148544 836042112 940547376 1114722816 1254063168 1486297088 1672084224 1881094752 2229445632 2508126336 3344168448 3762189504 4458891264 5016252672 6688336896 7524379008 10032505344 13376673792 15048758016 20065010688 30097516032 40130021376 60195032064 120390064128