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2120120001020 = 225773565336697
BaseRepresentation
bin11110110110100000111…
…111111110000111111100
321111200101210211010220202
4132312200333332013330
5234214001210013040
64301545241303032
7306113356444460
oct36664077760774
97450353733822
102120120001020
117481575184aa
122a2a87a94a78
13124c07575c58
1474885b124a0
153a238789015
hex1eda0ffe1fc

2120120001020 has 96 divisors (see below), whose sum is σ = 5159043593088. Its totient is φ = 716794417152.

The previous prime is 2120120000993. The next prime is 2120120001031. The reversal of 2120120001020 is 201000210212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2120120000992 and 2120120001010.

It is a congruent number.

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, 57755312 + ... + 57792008.

It is an arithmetic number, because the mean of its divisors is an integer number (53740037428).

Almost surely, 22120120001020 is an apocalyptic number.

2120120001020 is a gapful number since it is divisible by the number (20) 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 2120120001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579521796544).

2120120001020 is an abundant number, since it is smaller than the sum of its proper divisors (3038923592068).

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

2120120001020 is a wasteful number, since it uses less digits than its factorization.

2120120001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42439 (or 42437 counting only the distinct ones).

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

Adding to 2120120001020 its reverse (201000210212), we get a palindrome (2321120211232).

The spelling of 2120120001020 in words is "two trillion, one hundred twenty billion, one hundred twenty million, one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 1022 1460 2044 2555 5110 5653 10220 11306 22612 28265 36697 39571 56530 73394 79142 113060 146788 158284 183485 197855 256879 366970 395710 412669 513758 733940 791420 825338 1027516 1284395 1650676 2063345 2568790 2678881 2888683 4126690 5137580 5357762 5777366 8253380 10715524 11554732 13394405 14443415 18752167 26788810 28886830 37504334 53577620 57773660 75008668 93760835 187521670 207448141 375043340 414896282 829792564 1037240705 1452136987 2074481410 2904273974 4148962820 5808547948 7260684935 14521369870 15143714293 29042739740 30287428586 60574857172 75718571465 106006000051 151437142930 212012000102 302874285860 424024000204 530030000255 1060060000510 2120120001020