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121620780 = 2232523291013
BaseRepresentation
bin1110011111111…
…00100100101100
322110211222100100
413033330210230
5222113331110
620022431100
73004521351
oct717744454
9273758310
10121620780
1162719546
1234892490
131c273878
141221c628
15aa25bc0
hex73fc92c

121620780 has 144 divisors (see below), whose sum is σ = 398623680. Its totient is φ = 29922816.

The previous prime is 121620773. The next prime is 121620787. The reversal of 121620780 is 87026121.

It is an interprime number because it is at equal distance from previous prime (121620773) and next prime (121620787).

It is a super-2 number, since 2×1216207802 = 29583228255616800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121620787) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119554 + ... + 120566.

It is an arithmetic number, because the mean of its divisors is an integer number (2768220).

Almost surely, 2121620780 is an apocalyptic number.

121620780 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 121620780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199311840).

121620780 is an abundant number, since it is smaller than the sum of its proper divisors (277002900).

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

121620780 is a wasteful number, since it uses less digits than its factorization.

121620780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 121620780 is about 11028.1811737022. The cubic root of 121620780 is about 495.4531509960.

The spelling of 121620780 in words is "one hundred twenty-one million, six hundred twenty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 29 30 36 45 46 58 60 69 87 90 92 115 116 138 145 174 180 207 230 261 276 290 345 348 414 435 460 522 580 667 690 828 870 1013 1035 1044 1305 1334 1380 1740 2001 2026 2070 2610 2668 3039 3335 4002 4052 4140 5065 5220 6003 6078 6670 8004 9117 10005 10130 12006 12156 13340 15195 18234 20010 20260 23299 24012 29377 30015 30390 36468 40020 45585 46598 58754 60030 60780 69897 88131 91170 93196 116495 117508 120060 139794 146885 176262 182340 209691 232990 264393 279588 293770 349485 352524 419382 440655 465980 528786 587540 675671 698970 838764 881310 1048455 1057572 1321965 1351342 1397940 1762620 2027013 2096910 2643930 2702684 3378355 4054026 4193820 5287860 6081039 6756710 8108052 10135065 12162078 13513420 20270130 24324156 30405195 40540260 60810390 121620780