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121252200520 = 235113976531063
BaseRepresentation
bin111000011101100110…
…0011100000001001000
3102120222021101222200111
41300323030130001020
53441311030404040
6131411423244104
711521512461533
oct1607314340110
9376867358614
10121252200520
1147471784990
121b5bb149634
13b584757719
145c23783a1a
153249da2dea
hex1c3b31c048

121252200520 has 128 divisors (see below), whose sum is σ = 299106743040. Its totient is φ = 43871984640.

The previous prime is 121252200479. The next prime is 121252200521. The reversal of 121252200520 is 25002252121.

It is a super-2 number, since 2×1212522005202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 121252200491 and 121252200500.

It is not an unprimeable number, because it can be changed into a prime (121252200521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114065509 + ... + 114066571.

It is an arithmetic number, because the mean of its divisors is an integer number (2336771430).

Almost surely, 2121252200520 is an apocalyptic number.

121252200520 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 121252200520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149553371520).

121252200520 is an abundant number, since it is smaller than the sum of its proper divisors (177854542520).

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

121252200520 is a wasteful number, since it uses less digits than its factorization.

121252200520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 121252200520 its reverse (25002252121), we get a palindrome (146254452641).

The spelling of 121252200520 in words is "one hundred twenty-one billion, two hundred fifty-two million, two hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 397 440 653 794 1063 1306 1588 1985 2126 2612 3176 3265 3970 4252 4367 5224 5315 6530 7183 7940 8504 8734 10630 11693 13060 14366 15880 17468 21260 21835 23386 26120 28732 34936 35915 42520 43670 46772 57464 58465 71830 87340 93544 116930 143660 174680 233860 259241 287320 422011 467720 518482 694139 844022 1036964 1296205 1388278 1688044 2073928 2110055 2592410 2776556 2851651 3376088 3470695 4220110 4642121 5184820 5553112 5703302 6941390 7635529 8440220 9284242 10369640 11406604 13882780 14258255 15271058 16880440 18568484 22813208 23210605 27765560 28516510 30542116 37136968 38177645 46421210 57033020 61084232 76355290 92842420 114066040 152710580 185684840 275573183 305421160 551146366 1102292732 1377865915 2204585464 2755731830 3031305013 5511463660 6062610026 11022927320 12125220052 15156525065 24250440104 30313050130 60626100260 121252200520