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121220120319990 = 23547463725325601
BaseRepresentation
bin11011100011111111000010…
…001101100001011111110110
3120220012112022121102022011120
4123203333002031201133312
5111342032301300214430
61105451430545444410
734350602404610226
oct3343770215413766
9526175277368146
10121220120319990
113569618979a52a
1211719331040706
1352840152c8a63
1421d1129840086
15e03330927610
hex6e3fc23617f6

121220120319990 has 128 divisors (see below), whose sum is σ = 297812662198272. Its totient is φ = 31563674419200.

The previous prime is 121220120319973. The next prime is 121220120320001. The reversal of 121220120319990 is 99913021022121.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4734963190 + ... + 4734988790.

It is an arithmetic number, because the mean of its divisors is an integer number (2326661423424).

Almost surely, 2121220120319990 is an apocalyptic number.

121220120319990 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 121220120319990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148906331099136).

121220120319990 is an abundant number, since it is smaller than the sum of its proper divisors (176592541878282).

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

121220120319990 is a wasteful number, since it uses less digits than its factorization.

121220120319990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33374.

The product of its (nonzero) digits is 34992, while the sum is 42.

The spelling of 121220120319990 in words is "one hundred twenty-one trillion, two hundred twenty billion, one hundred twenty million, three hundred nineteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 463 470 705 926 1389 1410 2315 2778 4630 6945 7253 13890 14506 21759 21761 25601 36265 43518 43522 51202 65283 72530 76803 108795 108805 128005 130566 153606 217590 217610 256010 326415 340891 384015 652830 681782 768030 1022673 1203247 1704455 2045346 2406494 3358139 3408910 3609741 5113365 6016235 6716278 7219482 10074417 10226730 11853263 12032470 16790695 18048705 20148834 23706526 33581390 35559789 36097410 50372085 59266315 71119578 100744170 118532630 157832533 177798945 185684053 315665066 355597890 371368106 473497599 557052159 557103361 789162665 928420265 946995198 1114104318 1114206722 1578325330 1671310083 1856840530 2367487995 2785260795 2785516805 3342620166 4734975990 5570521590 5571033610 8356550415 8727150491 16713100830 17454300982 26181451473 43635752455 52362902946 85971716539 87271504910 130907257365 171943433078 257915149617 261814514730 429858582695 515830299234 859717165390 1289575748085 2579151496170 4040670677333 8081341354666 12122012031999 20203353386665 24244024063998 40406706773330 60610060159995 121220120319990