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120121144220 = 2257111731283523
BaseRepresentation
bin110111111011111000…
…1110011001110011100
3102111001110010101010102
41233313301303032130
53432002003103340
6131103301000232
711451466610360
oct1576761631634
9374043111112
10120121144220
1146a41288610
121b3443b3078
13b43432203c
145b5747d2a0
1531d0935215
hex1bf7c7339c

120121144220 has 384 divisors, whose sum is σ = 345615040512. Its totient is φ = 33915801600.

The previous prime is 120121144217. The next prime is 120121144261. The reversal of 120121144220 is 22441121021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120121144192 and 120121144201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229676879 + ... + 229677401.

It is an arithmetic number, because the mean of its divisors is an integer number (900039168).

Almost surely, 2120121144220 is an apocalyptic number.

120121144220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120121144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172807520256).

120121144220 is an abundant number, since it is smaller than the sum of its proper divisors (225493896292).

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

120121144220 is a wasteful number, since it uses less digits than its factorization.

120121144220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 120121144220 its reverse (22441121021), we get a palindrome (142562265241).

The spelling of 120121144220 in words is "one hundred twenty billion, one hundred twenty-one million, one hundred forty-four thousand, two hundred twenty".