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120202122011020 = 225710718674297897
BaseRepresentation
bin11011010101001010111100…
…110010001010000110001100
3120202121012200120000001022121
4123111022330302022012030
5111223342421213323040
61103352031553022324
734214213432011210
oct3325127462120614
9522535616001277
10120202122011020
1135333485237725
1211593b875549a4
13520c01c27256a
142197b56cca940
15dd6aee03dc4a
hex6d52bcc8a18c

120202122011020 has 96 divisors (see below), whose sum is σ = 291337245061632. Its totient is φ = 40805118586368.

The previous prime is 120202122011009. The next prime is 120202122011057. The reversal of 120202122011020 is 20110221202021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120202122010985 and 120202122011003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25818712 + ... + 30116608.

It is an arithmetic number, because the mean of its divisors is an integer number (3034762969392).

Almost surely, 2120202122011020 is an apocalyptic number.

120202122011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120202122011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145668622530816).

120202122011020 is an abundant number, since it is smaller than the sum of its proper divisors (171135123050612).

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

120202122011020 is a wasteful number, since it uses less digits than its factorization.

120202122011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4299887 (or 4299885 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 120202122011020 its reverse (20110221202021), we get a palindrome (140312343213041).

The spelling of 120202122011020 in words is "one hundred twenty trillion, two hundred two billion, one hundred twenty-two million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 1867 2140 2996 3734 3745 7468 7490 9335 13069 14980 18670 26138 37340 52276 65345 130690 199769 261380 399538 799076 998845 1398383 1997690 2796766 3995380 4297897 5593532 6991915 8595794 13983830 17191588 21489485 27967660 30085279 42978970 60170558 85957940 120341116 150426395 300852790 459874979 601705580 919749958 1839499916 2299374895 3219124853 4598749790 6438249706 8024173699 9197499580 12876499412 16048347398 16095624265 32096694796 32191248530 40120868495 56169215893 64382497060 80241736990 112338431786 160483473980 224676863572 280846079465 561692158930 858586585793 1123384317860 1717173171586 3434346343172 4292932928965 6010106100551 8585865857930 12020212201102 17171731715860 24040424402204 30050530502755 60101061005510 120202122011020