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120211201000121 = 72112234831182473
BaseRepresentation
bin11011010101010011011001…
…111011110000001010111001
3120202122002010021201111000012
4123111103121323300022321
5111224020014424000441
61103400132515151305
734214654424105200
oct3325233173601271
9522562107644005
10120211201000121
1135337314079600
121159589bba5535
13520cb381baa6a
1421983789c4237
15dd6e8111e9eb
hex6d54d9ef02b9

120211201000121 has 72 divisors (see below), whose sum is σ = 160422638971392. Its totient is φ = 89579373206400.

The previous prime is 120211201000073. The next prime is 120211201000153. The reversal of 120211201000121 is 121000102112021.

It is a de Polignac number, because none of the positive numbers 2k-120211201000121 is a prime.

It is a super-2 number, since 2×1202112010001212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120211201000096 and 120211201000105.

It is not an unprimeable number, because it can be changed into a prime (120211201000021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 658697741 + ... + 658880213.

It is an arithmetic number, because the mean of its divisors is an integer number (2228092207936).

Almost surely, 2120211201000121 is an apocalyptic number.

120211201000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120211201000121 is a deficient number, since it is larger than the sum of its proper divisors (40211437971271).

120211201000121 is a wasteful number, since it uses less digits than its factorization.

120211201000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187363 (or 187345 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120211201000121 its reverse (121000102112021), we get a palindrome (241211303112142).

The spelling of 120211201000121 in words is "one hundred twenty trillion, two hundred eleven billion, two hundred one million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 7 11 23 49 77 121 161 253 539 847 1127 1771 2783 4831 5929 12397 19481 33817 53141 111113 136367 182473 236719 371987 584551 777791 1222243 1277311 2007203 2603909 4091857 4196879 5444537 8555701 8941177 13444673 14050421 22079233 28642999 29378153 46165669 59889907 94112711 98352947 154554631 205647071 323159683 507822359 658788977 881527063 1081882417 2262117781 3554756513 6170689441 9696797693 20275122449 24883295591 43194826087 67877583851 106664774623 141925857143 223026346939 475143086957 746653422361 993481000001 1561184428573 2453289816329 5226573956527 10928291000011 17173028714303 120211201000121