Search a number
-
+
121122021021001 = 711131011601748301
BaseRepresentation
bin11011100010100011101011…
…000010011001010101001001
3120212212011002220021120112121
4123202203223002121111021
5111333430344340133001
61105334404401211241
734340530410411130
oct3342435302312511
9525764086246477
10121122021021001
1135658619249210
1211702313930b21
1352779b0506c90
1421ca4a0dca917
15e009dd4d86a1
hex6e28eb099549

121122021021001 has 64 divisors (see below), whose sum is σ = 164338325770752. Its totient is φ = 86204160000000.

The previous prime is 121122021020999. The next prime is 121122021021049. The reversal of 121122021021001 is 100120120221121.

It is not a de Polignac number, because 121122021021001 - 21 = 121122021020999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121122021021601) 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, 161488551 + ... + 162236851.

It is an arithmetic number, because the mean of its divisors is an integer number (2567786340168).

Almost surely, 2121122021021001 is an apocalyptic number.

121122021021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121122021021001 is a deficient number, since it is larger than the sum of its proper divisors (43216304749751).

121122021021001 is a wasteful number, since it uses less digits than its factorization.

121122021021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750034.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121122021021001 its reverse (100120120221121), we get a palindrome (221242141242122).

The spelling of 121122021021001 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, twenty-one million, twenty-one thousand, one".

Divisors: 1 7 11 13 77 91 101 143 707 1001 1111 1313 1601 7777 9191 11207 14443 17611 20813 101101 123277 145691 161701 228943 748301 1131907 1602601 1778711 2102113 5238107 8231311 9727913 12450977 14714791 23123243 57619177 68095391 75578401 107007043 161862701 529048807 749049301 831362411 982519213 1198029901 5819536877 6877634491 8386209307 10807711343 13178328911 15574388713 75653979401 92248302377 109020720991 121001020001 171318275843 847007140007 1199227930901 1331011220011 1573013260013 9317078540077 11011092820091 17303145860143 121122021021001