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121472880 = 24352931563
BaseRepresentation
bin1110011110110…
…00011101110000
322110120110110120
413033120131300
5222044113010
620015330240
73003334224
oct717303560
9273513416
10121472880
1162628411
1234820980
131c221459
14121c0784
15a9e6e70
hex73d8770

121472880 has 160 divisors (see below), whose sum is σ = 402831360. Its totient is φ = 30213120.

The previous prime is 121472843. The next prime is 121472881. The reversal of 121472880 is 88274121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121472881) 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, 215479 + ... + 216041.

It is an arithmetic number, because the mean of its divisors is an integer number (2517696).

Almost surely, 2121472880 is an apocalyptic number.

121472880 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 121472880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201415680).

121472880 is an abundant number, since it is smaller than the sum of its proper divisors (281358480).

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

121472880 is a wasteful number, since it uses less digits than its factorization.

121472880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 121472880 is about 11021.4735856872. The cubic root of 121472880 is about 495.2522334533.

The spelling of 121472880 in words is "one hundred twenty-one million, four hundred seventy-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 31 40 48 58 60 62 80 87 93 116 120 124 145 155 174 186 232 240 248 290 310 348 372 435 464 465 496 563 580 620 696 744 870 899 930 1126 1160 1240 1392 1488 1689 1740 1798 1860 2252 2320 2480 2697 2815 3378 3480 3596 3720 4495 4504 5394 5630 6756 6960 7192 7440 8445 8990 9008 10788 11260 13485 13512 14384 16327 16890 17453 17980 21576 22520 26970 27024 32654 33780 34906 35960 43152 45040 48981 52359 53940 65308 67560 69812 71920 81635 87265 97962 104718 107880 130616 135120 139624 163270 174530 195924 209436 215760 244905 261232 261795 279248 326540 349060 391848 418872 489810 506137 523590 653080 698120 783696 837744 979620 1012274 1047180 1306160 1396240 1518411 1959240 2024548 2094360 2530685 3036822 3918480 4049096 4188720 5061370 6073644 7592055 8098192 10122740 12147288 15184110 20245480 24294576 30368220 40490960 60736440 121472880