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121001010109974 = 2336721063469583
BaseRepresentation
bin11011100000110010111110…
…001110011001111000010110
3120212102120202102220100211000
4123200302332032121320112
5111324440032042004344
61105203032513324130
734326014554552221
oct3340627616317026
9525376672810730
10121001010109974
1135611270798735
12116a2981566646
135269466a62307
1421c46a16d65b8
15dec7a98e8a69
hex6e0cbe399e16

121001010109974 has 96 divisors (see below), whose sum is σ = 273221702691840. Its totient is φ = 39694213502064.

The previous prime is 121001010109951. The next prime is 121001010109979. The reversal of 121001010109974 is 479901010100121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121001010109979) 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, 257442787 + ... + 257912369.

It is an arithmetic number, because the mean of its divisors is an integer number (2846059403040).

Almost surely, 2121001010109974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121001010109974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136610851345920).

121001010109974 is an abundant number, since it is smaller than the sum of its proper divisors (152220692581866).

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

121001010109974 is a wasteful number, since it uses less digits than its factorization.

121001010109974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470791 (or 470718 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The spelling of 121001010109974 in words is "one hundred twenty-one trillion, one billion, ten million, one hundred nine thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1063 1206 1809 2126 3189 3618 4489 6378 8978 9567 13467 19134 26934 28701 40401 57402 71221 80802 121203 142442 213663 242406 427326 469583 640989 939166 1281978 1408749 1922967 2817498 3845934 4226247 4771807 8452494 9543614 12678741 14315421 25357482 28630842 31462061 42946263 62924122 85892526 94386183 128838789 188772366 257677578 283158549 499166729 566317098 849475647 998333458 1497500187 1698951294 2107958087 2995000374 4215916174 4492500561 6323874261 8985001122 12647748522 13477501683 18971622783 26955003366 33444170843 37943245566 56914868349 66888341686 100332512529 113829736698 200665025058 300997537587 601995075174 902992612761 1805985225522 2240759446481 4481518892962 6722278339443 13444556678886 20166835018329 40333670036658 60500505054987 121001010109974