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1020122112120 = 233519447421979
BaseRepresentation
bin11101101100001000000…
…01000010000001111000
310121112010001201122001220
432312010001002001320
5113203202230041440
62100345421112040
7133462401611646
oct16660401020170
93545101648056
101020122112120
113636a4379621
121458589b8620
1375274059867
1437534a38196
151b8080a38d0
hexed84042078

1020122112120 has 64 divisors (see below), whose sum is σ = 3221438256000. Its totient is φ = 257715059328.

The previous prime is 1020122112059. The next prime is 1020122112133. The reversal of 1020122112120 is 212112210201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020122112120.

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, 223708710 + ... + 223713269.

It is an arithmetic number, because the mean of its divisors is an integer number (50334972750).

Almost surely, 21020122112120 is an apocalyptic number.

1020122112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020122112120 is an abundant number, since it is smaller than the sum of its proper divisors (2201316143880).

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

1020122112120 is a wasteful number, since it uses less digits than its factorization.

1020122112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447422012 (or 447422008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1020122112120 its reverse (212112210201), we get a palindrome (1232234322321).

The spelling of 1020122112120 in words is "one trillion, twenty billion, one hundred twenty-two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 447421979 894843958 1342265937 1789687916 2237109895 2684531874 3579375832 4474219790 5369063748 6711329685 8501017601 8948439580 10738127496 13422659370 17002035202 17896879160 25503052803 26845318740 34004070404 42505088005 51006105606 53690637480 68008140808 85010176010 102012211212 127515264015 170020352020 204024422424 255030528030 340040704040 510061056060 1020122112120