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122021011012120 = 235111622691709017
BaseRepresentation
bin11011101111101000111011…
…000001000011101000011000
3121000001002120001112220001121
4123233220323001003220120
5111443143012304341440
61111303402324455024
734462504255303303
oct3357507301035030
9530032501486047
10122021011012120
11359749026a9420
12118285a584a474
1353116bb96029c
14221bbc41bbb3a
15e190a700834a
hex6efa3b043a18

122021011012120 has 64 divisors (see below), whose sum is σ = 299508138928800. Its totient is φ = 44370977326080.

The previous prime is 122021011012097. The next prime is 122021011012139. The reversal of 122021011012120 is 21210110120221.

It is a junction number, because it is equal to n+sod(n) for n = 122021011012094 and 122021011012103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70543852 + ... + 72252868.

Almost surely, 2122021011012120 is an apocalyptic number.

122021011012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122021011012120 is an abundant number, since it is smaller than the sum of its proper divisors (177487127916680).

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

122021011012120 is a wasteful number, since it uses less digits than its factorization.

122021011012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871308 (or 1871304 counting only the distinct ones).

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

Adding to 122021011012120 its reverse (21210110120221), we get a palindrome (143231121132341).

The spelling of 122021011012120 in words is "one hundred twenty-two trillion, twenty-one billion, eleven million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 162269 324538 649076 811345 1298152 1622690 1709017 1784959 3245380 3418034 3569918 6490760 6836068 7139836 8545085 8924795 13672136 14279672 17090170 17849590 18799187 34180340 35699180 37598374 68360680 71398360 75196748 93995935 150393496 187991870 375983740 751967480 277320479573 554640959146 1109281918292 1386602397865 2218563836584 2773204795730 3050525275303 5546409591460 6101050550606 11092819182920 12202101101212 15252626376515 24404202202424 30505252753030 61010505506060 122021011012120