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121421240010 = 23257271387791
BaseRepresentation
bin111000100010101000…
…1010001011011001010
3102121102001111002021100
41301011101101123022
53442132314140020
6131440302322230
711525634340200
oct1610521213312
9377361432240
10121421240010
1147549140844
121b647889376
13b5b07917a5
145c3bdc7070
153259b43a90
hex1c454516ca

121421240010 has 144 divisors (see below), whose sum is σ = 372410618112. Its totient is φ = 27362462400.

The previous prime is 121421239957. The next prime is 121421240023. The reversal of 121421240010 is 10042124121.

121421240010 is a `hidden beast` number, since 1 + 2 + 1 + 421 + 240 + 0 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119215 + ... + 507005.

It is an arithmetic number, because the mean of its divisors is an integer number (2586184848).

Almost surely, 2121421240010 is an apocalyptic number.

121421240010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121421240010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186205309056).

121421240010 is an abundant number, since it is smaller than the sum of its proper divisors (250989378102).

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

121421240010 is a wasteful number, since it uses less digits than its factorization.

121421240010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387889 (or 387879 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121421240010 its reverse (10042124121), we get a palindrome (131463364131).

The spelling of 121421240010 in words is "one hundred twenty-one billion, four hundred twenty-one million, two hundred forty thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 71 90 98 105 126 142 147 210 213 245 294 315 355 426 441 490 497 630 639 710 735 882 994 1065 1278 1470 1491 2130 2205 2485 2982 3195 3479 4410 4473 4970 6390 6958 7455 8946 10437 14910 17395 20874 22365 31311 34790 44730 52185 62622 104370 156555 313110 387791 775582 1163373 1938955 2326746 2714537 3490119 3877910 5429074 5816865 6980238 8143611 11633730 13572685 16287222 17450595 19001759 24430833 27145370 27533161 34901190 38003518 40718055 48861666 55066322 57005277 81436110 82599483 95008795 114010554 122154165 137665805 165198966 171015831 190017590 192732127 244308330 247798449 275331610 285026385 342031662 385464254 412997415 495596898 570052770 578196381 825994830 855079155 963660635 1156392762 1238992245 1349124889 1710158310 1734589143 1927321270 2477984490 2698249778 2890981905 3469178286 4047374667 5781963810 6745624445 8094749334 8672945715 12142124001 13491248890 17345891430 20236873335 24284248002 40473746670 60710620005 121421240010