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121701924828 = 2232112313362091
BaseRepresentation
bin111000101010111111…
…1111111111111011100
3102122010121122100110100
41301111333333333130
53443221143043303
6131524210341100
711535613202241
oct1612577777734
9378117570410
10121701924828
1147682622470
121b70588a790
13b626988a93
145c673ad5c8
1532745d98a3
hex1c55ffffdc

121701924828 has 72 divisors (see below), whose sum is σ = 350193707136. Its totient is φ = 35275917600.

The previous prime is 121701924809. The next prime is 121701924829. The reversal of 121701924828 is 828429107121.

121701924828 is a `hidden beast` number, since 12 + 1 + 70 + 1 + 92 + 482 + 8 = 666.

It is a super-2 number, since 2×1217019248282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121701924829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6671938 + ... + 6690153.

It is an arithmetic number, because the mean of its divisors is an integer number (4863801488).

Almost surely, 2121701924828 is an apocalyptic number.

121701924828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121701924828 is an abundant number, since it is smaller than the sum of its proper divisors (228491782308).

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

121701924828 is a wasteful number, since it uses less digits than its factorization.

121701924828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13362135 (or 13362130 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

It can be divided in two parts, 121701 and 924828, that added together give a square (1046529 = 10232).

The spelling of 121701924828 in words is "one hundred twenty-one billion, seven hundred one million, nine hundred twenty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 13362091 26724182 40086273 53448364 80172546 120258819 146983001 160345092 240517638 293966002 307328093 440949003 481035276 587932004 614656186 881898006 921984279 1229312372 1322847009 1763796012 1843968558 2645694018 2765952837 3380609023 3687937116 5291388036 5531905674 6761218046 10141827069 11063811348 13522436092 20283654138 30425481207 40567308276 60850962414 121701924828