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120021000120 = 23325747627381
BaseRepresentation
bin110111111000111001…
…1110001111110111000
3102110210110200112020200
41233301303301332320
53431300334000440
6131045322322200
711446142445150
oct1576163617670
9373713615220
10120021000120
114699a7a889a
121b316959360
13b41965aa88
145b48051760
1531c6c52c30
hex1bf1cf1fb8

120021000120 has 96 divisors (see below), whose sum is σ = 445792295520. Its totient is φ = 27433370880.

The previous prime is 120021000103. The next prime is 120021000167. The reversal of 120021000120 is 21000120021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23811171 + ... + 23816210.

It is an arithmetic number, because the mean of its divisors is an integer number (4643669745).

Almost surely, 2120021000120 is an apocalyptic number.

120021000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021000120 is an abundant number, since it is smaller than the sum of its proper divisors (325771295400).

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

120021000120 is a wasteful number, since it uses less digits than its factorization.

120021000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47627405 (or 47627398 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120021000120 its reverse (21000120021), we get a palindrome (141021120141).

The spelling of 120021000120 in words is "one hundred twenty billion, twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 47627381 95254762 142882143 190509524 238136905 285764286 333391667 381019048 428646429 476273810 571528572 666783334 714410715 857292858 952547620 1000175001 1143057144 1333566668 1428821430 1666958335 1714585716 1905095240 2000350002 2143232145 2667133336 2857642860 3000525003 3333916670 3429171432 4000700004 4286464290 5000875005 5715285720 6001050006 6667833340 8001400008 8572928580 10001750010 12002100012 13335666680 15002625015 17145857160 20003500020 24004200024 30005250030 40007000040 60010500060 120021000120