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121022003011332 = 22323564177731877
BaseRepresentation
bin11011100001000110100001…
…011111111101111100000100
3120212111120221110202020200010
4123201012201133331330010
5111330311030232330312
61105220423552150220
734330360024353243
oct3341064137757404
9525446843666603
10121022003011332
113561a163732195
12116a6a5bb38370
13526b431060037
1421c56d37dc95a
15ded0d78e293c
hex6e11a17fdf04

121022003011332 has 48 divisors (see below), whose sum is σ = 294714507814272. Its totient is φ = 38579884696320.

The previous prime is 121022003011331. The next prime is 121022003011333. The reversal of 121022003011332 is 233110300220121.

121022003011332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121022003011331) and next prime (121022003011333).

It is a super-2 number, since 2×1210220030113322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121022003011299 and 121022003011308.

It is not an unprimeable number, because it can be changed into a prime (121022003011331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37309023 + ... + 40422854.

It is an arithmetic number, because the mean of its divisors is an integer number (6139885579464).

Almost surely, 2121022003011332 is an apocalyptic number.

121022003011332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121022003011332 is an abundant number, since it is smaller than the sum of its proper divisors (173692504802940).

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

121022003011332 is a wasteful number, since it uses less digits than its factorization.

121022003011332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77737548 (or 77737546 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 121022003011332 its reverse (233110300220121), we get a palindrome (354132303231453).

The spelling of 121022003011332 in words is "one hundred twenty-one trillion, twenty-two billion, three million, eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 5641 11282 16923 22564 33846 67692 129743 259486 389229 518972 778458 1556916 77731877 155463754 233195631 310927508 466391262 932782524 1787833171 3575666342 5363499513 7151332684 10726999026 21453998052 438485518157 876971036314 1315456554471 1753942072628 2630913108942 5261826217884 10085166917611 20170333835222 30255500752833 40340667670444 60511001505666 121022003011332