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30122001120 = 2535193302851
BaseRepresentation
bin11100000011011010…
…010100001011100000
32212202020212012110010
4130003122110023200
5443142213013440
621500551004520
72114310533151
oct340332241340
985666765403
1030122001120
11118580a2302
125a07969740
132ac073cb03
14165a725928
15bb46c7580
hex7036942e0

30122001120 has 96 divisors (see below), whose sum is σ = 99878244480. Its totient is φ = 7609766400.

The previous prime is 30122001109. The next prime is 30122001181. The reversal of 30122001120 is 2110022103.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30122001096 and 30122001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1642306 + ... + 1660545.

It is an arithmetic number, because the mean of its divisors is an integer number (1040398380).

Almost surely, 230122001120 is an apocalyptic number.

30122001120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30122001120 is an abundant number, since it is smaller than the sum of its proper divisors (69756243360).

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

30122001120 is a wasteful number, since it uses less digits than its factorization.

30122001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302888 (or 3302880 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 30122001120 its reverse (2110022103), we get a palindrome (32232023223).

The spelling of 30122001120 in words is "thirty billion, one hundred twenty-two million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 3302851 6605702 9908553 13211404 16514255 19817106 26422808 33028510 39634212 49542765 52845616 62754169 66057020 79268424 99085530 105691232 125508338 132114040 158536848 188262507 198171060 251016676 264228080 313770845 317073696 376525014 396342120 502033352 528456160 627541690 753050028 792684240 941312535 1004066704 1255083380 1506100056 1585368480 1882625070 2008133408 2510166760 3012200112 3765250140 5020333520 6024400224 7530500280 10040667040 15061000560 30122001120