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120231222132021 = 3711213291012834391
BaseRepresentation
bin11011010101100110000011…
…010010010011110100110101
3120202200222210121000100202220
4123111212003102103310311
5111224332020331211041
61103413243321352553
734216263523654140
oct3325460322236465
9522628717010686
10120231222132021
1135344858521300
1211599749038759
1352119a9084080
142199317a0b057
15dd7753b61d66
hex6d5983493d35

120231222132021 has 384 divisors, whose sum is σ = 227421622149120. Its totient is φ = 54906888960000.

The previous prime is 120231222131959. The next prime is 120231222132031.

120231222132021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120231222132021 - 27 = 120231222131893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120231222131982 and 120231222132000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120231222132031) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27381282736 + ... + 27381287126.

It is an arithmetic number, because the mean of its divisors is an integer number (592243807680).

Almost surely, 2120231222132021 is an apocalyptic number.

120231222132021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120231222132021 is a deficient number, since it is larger than the sum of its proper divisors (107190400017099).

120231222132021 is a wasteful number, since it uses less digits than its factorization.

120231222132021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 120231222132021 in words is "one hundred twenty trillion, two hundred thirty-one billion, two hundred twenty-two million, one hundred thirty-two thousand, twenty-one".