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121213112220 = 2232537105117317
BaseRepresentation
bin111000011100011011…
…1010100111110011100
3102120212112212002121200
41300320313110332130
53441221024042340
6131403505355500
711520526311504
oct1607067247634
9376775762550
10121213112220
1147451707302
121b5aa038b90
13b57961cb55
145c1c4caa04
153246731330
hex1c38dd4f9c

121213112220 has 144 divisors (see below), whose sum is σ = 377998184928. Its totient is φ = 31418150400.

The previous prime is 121213112213. The next prime is 121213112231. The reversal of 121213112220 is 22211312121.

121213112220 is a `hidden beast` number, since 12 + 121 + 311 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121213112193 and 121213112202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6991002 + ... + 7008318.

Almost surely, 2121213112220 is an apocalyptic number.

121213112220 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 121213112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188999092464).

121213112220 is an abundant number, since it is smaller than the sum of its proper divisors (256785072708).

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

121213112220 is a wasteful number, since it uses less digits than its factorization.

121213112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18420 (or 18415 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 121213112220 its reverse (22211312121), we get a palindrome (143424424341).

The spelling of 121213112220 in words is "one hundred twenty-one billion, two hundred thirteen million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1051 1110 1332 1665 2102 2220 3153 3330 4204 5255 6306 6660 9459 10510 12612 15765 17317 18918 21020 31530 34634 37836 38887 47295 51951 63060 69268 77774 86585 94590 103902 116661 155548 155853 173170 189180 194435 207804 233322 259755 311706 346340 349983 388870 466644 519510 583305 623412 640729 699966 777740 779265 1039020 1166610 1281458 1399932 1558530 1749915 1922187 2333220 2562916 3117060 3203645 3499830 3844374 5766561 6407290 6999660 7688748 9610935 11533122 12814580 18200167 19221870 23066244 28832805 36400334 38443740 54600501 57665610 72800668 91000835 109201002 115331220 163801503 182001670 218402004 273002505 327603006 364003340 546005010 655206012 673406179 819007515 1092010020 1346812358 1638015030 2020218537 2693624716 3276030060 3367030895 4040437074 6060655611 6734061790 8080874148 10101092685 12121311222 13468123580 20202185370 24242622444 30303278055 40404370740 60606556110 121213112220