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121000011120219 = 37114399291284379
BaseRepresentation
bin11011100000110010000010…
…101011100011111001011011
3120212102111011211010102111110
4123200302002223203321123
5111324431010321321334
61105202345425431403
734325651034356520
oct3340620253437133
9525374154112443
10121000011120219
11356108a88a4970
12116a2742a9b563
135269337ab9c0a
1421c4608b6d147
15dec74bd66ae9
hex6e0c82ae3e5b

121000011120219 has 64 divisors (see below), whose sum is σ = 201818225664000. Its totient is φ = 62646410327040.

The previous prime is 121000011120161. The next prime is 121000011120223. The reversal of 121000011120219 is 912021110000121.

It is not a de Polignac number, because 121000011120219 - 29 = 121000011119707 is a prime.

It is a super-2 number, since 2×1210000111202192 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 121000011120195 and 121000011120204.

It is not an unprimeable number, because it can be changed into a prime (121000011100219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93566772 + ... + 94851150.

It is an arithmetic number, because the mean of its divisors is an integer number (3153409776000).

Almost surely, 2121000011120219 is an apocalyptic number.

121000011120219 is a deficient number, since it is larger than the sum of its proper divisors (80818214543781).

121000011120219 is a wasteful number, since it uses less digits than its factorization.

121000011120219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285768.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 121000011120219 in words is "one hundred twenty-one trillion, eleven million, one hundred twenty thousand, two hundred nineteen".

Divisors: 1 3 7 11 21 33 77 231 439 929 1317 2787 3073 4829 6503 9219 10219 14487 19509 30657 33803 71533 101409 214599 407831 1223493 1284379 2854817 3853137 4486141 8564451 8990653 13458423 14128169 26971959 31402987 42384507 94208961 98897183 296691549 563842381 1193188091 1691527143 3579564273 3946896667 6202266191 8352316637 11840690001 13125069001 18606798573 25056949911 39375207003 43415863337 91875483007 130247590011 275626449021 523809571949 1571428715847 3666667003643 5761905291439 11000001010929 17285715874317 40333337040073 121000011120219