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122100012002000 = 2453232654348087
BaseRepresentation
bin11011110000110010011111…
…110101111010101011010000
3121000022122110202211222210202
4123300302133311322223100
5112000441311033031000
61111403545434114332
734501302056526044
oct3360623765725320
9530278422758722
10122100012002000
11359a53626a83aa
121183b972b7b9a8
135318c9bb13646
14222195a3c6024
15e1b17c93ddd5
hex6f0c9fd7aad0

122100012002000 has 80 divisors (see below), whose sum is σ = 308074256485632. Its totient is φ = 46716526313600.

The previous prime is 122100012001997. The next prime is 122100012002119. The reversal of 122100012002000 is 200210001221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1327128044 + ... + 1327220043.

Almost surely, 2122100012002000 is an apocalyptic number.

122100012002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100012002000 is an abundant number, since it is smaller than the sum of its proper divisors (185974244483632).

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

122100012002000 is a wasteful number, since it uses less digits than its factorization.

122100012002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654348133 (or 2654348117 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 122100012002000 its reverse (200210001221), we get a palindrome (122300222003221).

The spelling of 122100012002000 in words is "one hundred twenty-two trillion, one hundred billion, twelve million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 2654348087 5308696174 10617392348 13271740435 21234784696 26543480870 42469569392 53086961740 61050006001 66358702175 106173923480 122100012002 132717404350 212347846960 244200024004 265434808700 305250030005 331793510875 488400048008 530869617400 610500060010 663587021750 976800096016 1061739234800 1221000120020 1327174043500 1526250150025 2442000240040 2654348087000 3052500300050 4884000480080 5308696174000 6105000600100 7631250750125 12210001200200 15262501500250 24420002400400 30525003000500 61050006001000 122100012002000